(* Created with the Wolfram Language : www.wolfram.com *)
<|"\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> $PointGroups["-1"], 
 "-1" :> $PointGroups["-1"], "\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> 
  $PointGroups["-1"], "1" :> $PointGroups["1"], "2" :> $PointGroups["2"], 
 "222" :> $PointGroups["222"], "23" :> $PointGroups["23"], 
 "2/m" :> $PointGroups["2/m"], "\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $PointGroups["-3"], "-3" :> $PointGroups["-3"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $PointGroups["-3"], 
 "3" :> $PointGroups["3"], "321" :> $PointGroups["32"], 
 "32:h" :> $PointGroups["32"], "321:h" :> $PointGroups["32"], 
 "32" :> $PointGroups["32"], "\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> 
  $PointGroups["-3m"], "\!\(\*OverscriptBox[\(3\), \(_\)]\)m1" :> 
  $PointGroups["-3m"], "-3m1" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\)m:h" :> $PointGroups["-3m"], 
 "-3m:h" :> $PointGroups["-3m"], "\!\(\*OverscriptBox[\(3\), \(_\)]\)m1:h" :> 
  $PointGroups["-3m"], "-3m1:h" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)" :> 
  $PointGroups["-3m"], "-3m" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)m1" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)m:h" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)m1:h" :> $PointGroups["-3m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)\!\(\*FractionBox[\(2\),\(m\)]\)" :> 
  $PointGroups["-3m"], "3m1" :> $PointGroups["3m"], 
 "3m:h" :> $PointGroups["3m"], "3m1:h" :> $PointGroups["3m"], 
 "3m" :> $PointGroups["3m"], "\!\(\*OverscriptBox[\(4\), \(_\)]\)" :> 
  $PointGroups["-4"], "-4" :> $PointGroups["-4"], 
 "\!\(\*OverscriptBox[\(4\),\(_\)]\)" :> $PointGroups["-4"], 
 "4" :> $PointGroups["4"], "422" :> $PointGroups["422"], 
 "\!\(\*OverscriptBox[\(4\), \(_\)]\)2m" :> $PointGroups["-42m"], 
 "-42m" :> $PointGroups["-42m"], "\!\(\*OverscriptBox[\(4\),\(_\)]\)2m" :> 
  $PointGroups["-42m"], "432" :> $PointGroups["432"], 
 "\!\(\*OverscriptBox[\(4\), \(_\)]\)3m" :> $PointGroups["-43m"], 
 "-43m" :> $PointGroups["-43m"], "\!\(\*OverscriptBox[\(4\),\(_\)]\)3m" :> 
  $PointGroups["-43m"], "4/m" :> $PointGroups["4/m"], 
 "4mm" :> $PointGroups["4mm"], "\!\(\*FractionBox[\(4\), \
\(m\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)" \
:> $PointGroups["4/mmm"], "4/mmm" :> $PointGroups["4/mmm"], 
 "\!\(\*FractionBox[\(4\),\(m\)]\)\!\(\*FractionBox[\(2\),\(m\)]\)\!\(\*Fract\
ionBox[\(2\),\(m\)]\)" :> $PointGroups["4/mmm"], 
 "\!\(\*OverscriptBox[\(6\), \(_\)]\)" :> $PointGroups["-6"], 
 "-6" :> $PointGroups["-6"], "\!\(\*OverscriptBox[\(6\),\(_\)]\)" :> 
  $PointGroups["-6"], "6" :> $PointGroups["6"], "622" :> $PointGroups["622"], 
 "\!\(\*OverscriptBox[\(6\), \(_\)]\)2m" :> $PointGroups["-62m"], 
 "-62m" :> $PointGroups["-62m"], "\!\(\*OverscriptBox[\(6\),\(_\)]\)2m" :> 
  $PointGroups["-62m"], "6/m" :> $PointGroups["6/m"], 
 "6mm" :> $PointGroups["6mm"], "\!\(\*FractionBox[\(6\), \
\(m\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)" \
:> $PointGroups["6/mmm"], "6/mmm" :> $PointGroups["6/mmm"], 
 "\!\(\*FractionBox[\(6\),\(m\)]\)\!\(\*FractionBox[\(2\),\(m\)]\)\!\(\*Fract\
ionBox[\(2\),\(m\)]\)" :> $PointGroups["6/mmm"], "m" :> $PointGroups["m"], 
 "m\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> $PointGroups["m-3"], 
 "\!\(\*FractionBox[\(2\), \(m\)]\)\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $PointGroups["m-3"], "m-3" :> $PointGroups["m-3"], 
 "m\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $PointGroups["m-3"], 
 "\!\(\*FractionBox[\(2\),\(m\)]\)\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> 
  $PointGroups["m-3"], "m\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> 
  $PointGroups["m-3m"], "\!\(\*FractionBox[\(4\), \
\(m\)]\)\!\(\*OverscriptBox[\(3\), \(_\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)" \
:> $PointGroups["m-3m"], "m-3m" :> $PointGroups["m-3m"], 
 "m\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> $PointGroups["m-3m"], 
 "\!\(\*FractionBox[\(4\),\(m\)]\)\!\(\*OverscriptBox[\(3\),\(_\)]\)\!\(\*Fra\
ctionBox[\(2\),\(m\)]\)" :> $PointGroups["m-3m"], 
 "mm2" :> $PointGroups["mm2"], "\!\(\*FractionBox[\(2\), \
\(m\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)\!\(\*FractionBox[\(2\), \(m\)]\)" \
:> $PointGroups["mmm"], "mmm" :> $PointGroups["mmm"], 
 "\!\(\*FractionBox[\(2\),\(m\)]\)\!\(\*FractionBox[\(2\),\(m\)]\)\!\(\*Fract\
ionBox[\(2\),\(m\)]\)" :> $PointGroups["mmm"], 
 "2:c" :> $PointGroups["2", "AlternativeSettings", "2"], 
 "2/m:c" :> $PointGroups["2/m", "AlternativeSettings", "2/m"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\):r" :> $PointGroups["-3", 
   "AlternativeSettings", "-3"], 
 "-3:r" :> $PointGroups["-3", "AlternativeSettings", "-3"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\):r" :> $PointGroups["-3", 
   "AlternativeSettings", "-3"], 
 "3:r" :> $PointGroups["3", "AlternativeSettings", "3"], 
 "312" :> $PointGroups["32", "AlternativeSettings", "312"], 
 "32:r" :> $PointGroups["32", "AlternativeSettings", "32"], 
 "321:r" :> $PointGroups["32", "AlternativeSettings", "32"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\)1m" :> $PointGroups["-3m", 
   "AlternativeSettings", "-31m"], 
 "-31m" :> $PointGroups["-3m", "AlternativeSettings", "-31m"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\)1\!\(\*FractionBox[\(2\), \(m\)]\)" :> 
  $PointGroups["-3m", "AlternativeSettings", "-31m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)1m" :> $PointGroups["-3m", 
   "AlternativeSettings", "-31m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)1\!\(\*FractionBox[\(2\),\(m\)]\)" :> 
  $PointGroups["-3m", "AlternativeSettings", "-31m"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\)m:r" :> $PointGroups["-3m", 
   "AlternativeSettings", "-3m"], 
 "-3m:r" :> $PointGroups["-3m", "AlternativeSettings", "-3m"], 
 "\!\(\*OverscriptBox[\(3\), \(_\)]\)m1:r" :> 
  $PointGroups["-3m", "AlternativeSettings", "-3m"], 
 "-3m1:r" :> $PointGroups["-3m", "AlternativeSettings", "-3m"], 
 "\!\(\*OverscriptBox[\(3\),\(_\)]\)m:r" :> $PointGroups["-3m", 
   "AlternativeSettings", "-3m"], "\!\(\*OverscriptBox[\(3\),\(_\)]\)m1:r" :> 
  $PointGroups["-3m", "AlternativeSettings", "-3m"], 
 "31m" :> $PointGroups["3m", "AlternativeSettings", "31m"], 
 "3m:r" :> $PointGroups["3m", "AlternativeSettings", "3m"], 
 "3m1:r" :> $PointGroups["3m", "AlternativeSettings", "3m"], 
 "\!\(\*OverscriptBox[\(4\), \(_\)]\)m2" :> $PointGroups["-42m", 
   "AlternativeSettings", "-4m2"], 
 "-4m2" :> $PointGroups["-42m", "AlternativeSettings", "-4m2"], 
 "\!\(\*OverscriptBox[\(4\),\(_\)]\)m2" :> $PointGroups["-42m", 
   "AlternativeSettings", "-4m2"], "\!\(\*OverscriptBox[\(6\), \(_\)]\)m2" :> 
  $PointGroups["-62m", "AlternativeSettings", "-6m2"], 
 "-6m2" :> $PointGroups["-62m", "AlternativeSettings", "-6m2"], 
 "\!\(\*OverscriptBox[\(6\),\(_\)]\)m2" :> $PointGroups["-62m", 
   "AlternativeSettings", "-6m2"], 
 "m:c" :> $PointGroups["m", "AlternativeSettings", "m"], 
 "A b a 2" :> $SpaceGroups["Aea2"], "A e a 2" :> $SpaceGroups["Aea2"], 
 "A 2 -2ac" :> $SpaceGroups["Aea2"], "Aba2" :> $SpaceGroups["Aea2"], 
 "Aea2" :> $SpaceGroups["Aea2"], "A2-2ac" :> $SpaceGroups["Aea2"], 
 "A b m 2" :> $SpaceGroups["Aem2"], "A e m 2" :> $SpaceGroups["Aem2"], 
 "A 2 -2c" :> $SpaceGroups["Aem2"], "Abm2" :> $SpaceGroups["Aem2"], 
 "Aem2" :> $SpaceGroups["Aem2"], "A2-2c" :> $SpaceGroups["Aem2"], 
 "A m a 2" :> $SpaceGroups["Ama2"], "A 2 -2a" :> $SpaceGroups["Ama2"], 
 "Ama2" :> $SpaceGroups["Ama2"], "A2-2a" :> $SpaceGroups["Ama2"], 
 "A m m 2" :> $SpaceGroups["Amm2"], "A 2 -2" :> $SpaceGroups["Amm2"], 
 "Amm2" :> $SpaceGroups["Amm2"], "A2-2" :> $SpaceGroups["Amm2"], 
 "C 1 2 1" :> $SpaceGroups["C2"], "C 2y" :> $SpaceGroups["C2"], 
 "C121" :> $SpaceGroups["C2"], "C2y" :> $SpaceGroups["C2"], 
 "C 2 2 2" :> $SpaceGroups["C222"], "C 2 2" :> $SpaceGroups["C222"], 
 "C222" :> $SpaceGroups["C222"], "C22" :> $SpaceGroups["C222"], 
 "\!\(\*SubscriptBox[\(C222\), \(1\)]\)" :> $SpaceGroups["C2221"], 
 "C 2 2 21" :> $SpaceGroups["C2221"], "C 2c 2" :> $SpaceGroups["C2221"], 
 "\!\(\*SubscriptBox[\(C222\),\(1\)]\)" :> $SpaceGroups["C2221"], 
 "C2221" :> $SpaceGroups["C2221"], "C2c2" :> $SpaceGroups["C2221"], 
 "C 1 2/c 1" :> $SpaceGroups["C2/c"], "-C 2yc" :> $SpaceGroups["C2/c"], 
 "C 2/c" :> $SpaceGroups["C2/c"], "C12/c1" :> $SpaceGroups["C2/c"], 
 "-C2yc" :> $SpaceGroups["C2/c"], "C2/c" :> $SpaceGroups["C2/c"], 
 "C 1 2/m 1" :> $SpaceGroups["C2/m"], "-C 2y" :> $SpaceGroups["C2/m"], 
 "C12/m1" :> $SpaceGroups["C2/m"], "-C2y" :> $SpaceGroups["C2/m"], 
 "C 1 c 1" :> $SpaceGroups["Cc"], "C -2yc" :> $SpaceGroups["Cc"], 
 "C c" :> $SpaceGroups["Cc"], "C1c1" :> $SpaceGroups["Cc"], 
 "C-2yc" :> $SpaceGroups["Cc"], "Cc" :> $SpaceGroups["Cc"], 
 "C c c 2" :> $SpaceGroups["Ccc2"], "C 2 -2c" :> $SpaceGroups["Ccc2"], 
 "Ccc2" :> $SpaceGroups["Ccc2"], "C2-2c" :> $SpaceGroups["Ccc2"], 
 "C 2 2 -1ac" :> $SpaceGroups["Ccce"], "C 2 2 -1bc" :> $SpaceGroups["Ccce"], 
 "C c c a" :> $SpaceGroups["Ccce"], "C c c e" :> $SpaceGroups["Ccce"], 
 "C c c e:1" :> $SpaceGroups["Ccce"], "C22-1ac" :> $SpaceGroups["Ccce"], 
 "C22-1bc" :> $SpaceGroups["Ccce"], "Ccca" :> $SpaceGroups["Ccce"], 
 "Ccce" :> $SpaceGroups["Ccce"], "Ccce:1" :> $SpaceGroups["Ccce"], 
 "C c c m" :> $SpaceGroups["Cccm"], "C 2/c 2/c 2/m" :> $SpaceGroups["Cccm"], 
 "-C 2 2c" :> $SpaceGroups["Cccm"], "Cccm" :> $SpaceGroups["Cccm"], 
 "C2/c2/c2/m" :> $SpaceGroups["Cccm"], "-C22c" :> $SpaceGroups["Cccm"], 
 "C 1 m 1" :> $SpaceGroups["Cm"], "C -2y" :> $SpaceGroups["Cm"], 
 "C1m1" :> $SpaceGroups["Cm"], "C-2y" :> $SpaceGroups["Cm"], 
 "\!\(\*SubscriptBox[\(Cmc2\), \(1\)]\)" :> $SpaceGroups["Cmc21"], 
 "C m c 21" :> $SpaceGroups["Cmc21"], "C 2c -2" :> $SpaceGroups["Cmc21"], 
 "\!\(\*SubscriptBox[\(Cmc2\),\(1\)]\)" :> $SpaceGroups["Cmc21"], 
 "Cmc21" :> $SpaceGroups["Cmc21"], "C2c-2" :> $SpaceGroups["Cmc21"], 
 "C m c a" :> $SpaceGroups["Cmce"], "C m c e" :> $SpaceGroups["Cmce"], 
 "-C 2bc 2" :> $SpaceGroups["Cmce"], "Cmca" :> $SpaceGroups["Cmce"], 
 "Cmce" :> $SpaceGroups["Cmce"], "-C2bc2" :> $SpaceGroups["Cmce"], 
 "C m c m" :> $SpaceGroups["Cmcm"], "C 2/m 2/c 21/m" :> $SpaceGroups["Cmcm"], 
 "-C 2c 2" :> $SpaceGroups["Cmcm"], "Cmcm" :> $SpaceGroups["Cmcm"], 
 "C2/m2/c21/m" :> $SpaceGroups["Cmcm"], "-C2c2" :> $SpaceGroups["Cmcm"], 
 "C m m 2" :> $SpaceGroups["Cmm2"], "C 2 -2" :> $SpaceGroups["Cmm2"], 
 "Cmm2" :> $SpaceGroups["Cmm2"], "C2-2" :> $SpaceGroups["Cmm2"], 
 "C m m a" :> $SpaceGroups["Cmme"], "-C 2b 2" :> $SpaceGroups["Cmme"], 
 "C m m e" :> $SpaceGroups["Cmme"], "Cmma" :> $SpaceGroups["Cmme"], 
 "-C2b2" :> $SpaceGroups["Cmme"], "Cmme" :> $SpaceGroups["Cmme"], 
 "C m m m" :> $SpaceGroups["Cmmm"], "C 2/m 2/m 2/m" :> $SpaceGroups["Cmmm"], 
 "-C 2 2" :> $SpaceGroups["Cmmm"], "Cmmm" :> $SpaceGroups["Cmmm"], 
 "C2/m2/m2/m" :> $SpaceGroups["Cmmm"], "-C22" :> $SpaceGroups["Cmmm"], 
 "F 2 2 2" :> $SpaceGroups["F222"], "F 2 2" :> $SpaceGroups["F222"], 
 "F222" :> $SpaceGroups["F222"], "F22" :> $SpaceGroups["F222"], 
 "F 2 3" :> $SpaceGroups["F23"], "F 2 2 3" :> $SpaceGroups["F23"], 
 "F23" :> $SpaceGroups["F23"], "F223" :> $SpaceGroups["F23"], 
 "\!\(\*SubscriptBox[\(F4\), \(1\)]\)32" :> $SpaceGroups["F4132"], 
 "F 41 3 2" :> $SpaceGroups["F4132"], "F 4d 2 3" :> $SpaceGroups["F4132"], 
 "\!\(\*SubscriptBox[\(F4\),\(1\)]\)32" :> $SpaceGroups["F4132"], 
 "F4132" :> $SpaceGroups["F4132"], "F4d23" :> $SpaceGroups["F4132"], 
 "F 4 3 2" :> $SpaceGroups["F432"], "F 4 2 3" :> $SpaceGroups["F432"], 
 "F432" :> $SpaceGroups["F432"], "F423" :> $SpaceGroups["F432"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)3c" :> $SpaceGroups["F-43c"], 
 "F -4 3 c" :> $SpaceGroups["F-43c"], "F -4c 2 3" :> $SpaceGroups["F-43c"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)3c" :> $SpaceGroups["F-43c"], 
 "F-43c" :> $SpaceGroups["F-43c"], "F-4c23" :> $SpaceGroups["F-43c"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)3m" :> $SpaceGroups["F-43m"], 
 "F -4 3 m" :> $SpaceGroups["F-43m"], "F -4 2 3" :> $SpaceGroups["F-43m"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)3m" :> $SpaceGroups["F-43m"], 
 "F-43m" :> $SpaceGroups["F-43m"], "F-423" :> $SpaceGroups["F-43m"], 
 "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\):1" :> $SpaceGroups["Fd-3"], 
 "F d -3:1" :> $SpaceGroups["Fd-3"], "F 2/d -3:1" :> $SpaceGroups["Fd-3"], 
 "F 2 2 3 -1d" :> $SpaceGroups["Fd-3"], "F 2/d -3" :> $SpaceGroups["Fd-3"], 
 "F d -3" :> $SpaceGroups["Fd-3"], "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $SpaceGroups["Fd-3"], "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\):1" :> 
  $SpaceGroups["Fd-3"], "Fd-3:1" :> $SpaceGroups["Fd-3"], 
 "F2/d-3:1" :> $SpaceGroups["Fd-3"], "F223-1d" :> $SpaceGroups["Fd-3"], 
 "F2/d-3" :> $SpaceGroups["Fd-3"], "Fd-3" :> $SpaceGroups["Fd-3"], 
 "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Fd-3"], 
 "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)c:1" :> $SpaceGroups["Fd-3c"], 
 "F d -3 c:1" :> $SpaceGroups["Fd-3c"], "F 41/d -3 2/c:1" :> 
  $SpaceGroups["Fd-3c"], "F 4d 2 3 -1cd" :> $SpaceGroups["Fd-3c"], 
 "F 41/d -3 2/c" :> $SpaceGroups["Fd-3c"], 
 "F d -3 c" :> $SpaceGroups["Fd-3c"], 
 "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)c" :> $SpaceGroups["Fd-3c"], 
 "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)c:1" :> $SpaceGroups["Fd-3c"], 
 "Fd-3c:1" :> $SpaceGroups["Fd-3c"], "F41/d-32/c:1" :> $SpaceGroups["Fd-3c"], 
 "F4d23-1cd" :> $SpaceGroups["Fd-3c"], "F41/d-32/c" :> $SpaceGroups["Fd-3c"], 
 "Fd-3c" :> $SpaceGroups["Fd-3c"], "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)c" :> 
  $SpaceGroups["Fd-3c"], "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)m:1" :> 
  $SpaceGroups["Fd-3m"], "F d -3 m:1" :> $SpaceGroups["Fd-3m"], 
 "F 41/d -3 2/m:1" :> $SpaceGroups["Fd-3m"], 
 "F 4d 2 3 -1d" :> $SpaceGroups["Fd-3m"], "F 41/d -3 2/m" :> 
  $SpaceGroups["Fd-3m"], "F d -3 m" :> $SpaceGroups["Fd-3m"], 
 "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> $SpaceGroups["Fd-3m"], 
 "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)m:1" :> $SpaceGroups["Fd-3m"], 
 "Fd-3m:1" :> $SpaceGroups["Fd-3m"], "F41/d-32/m:1" :> $SpaceGroups["Fd-3m"], 
 "F4d23-1d" :> $SpaceGroups["Fd-3m"], "F41/d-32/m" :> $SpaceGroups["Fd-3m"], 
 "Fd-3m" :> $SpaceGroups["Fd-3m"], "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> 
  $SpaceGroups["Fd-3m"], "F d d 2" :> $SpaceGroups["Fdd2"], 
 "F 2 -2d" :> $SpaceGroups["Fdd2"], "Fdd2" :> $SpaceGroups["Fdd2"], 
 "F2-2d" :> $SpaceGroups["Fdd2"], "F d d d" :> $SpaceGroups["Fddd"], 
 "F d d d:1" :> $SpaceGroups["Fddd"], "F 2/d 2/d 2/d" :> 
  $SpaceGroups["Fddd"], "F 2/d 2/d 2/d:1" :> $SpaceGroups["Fddd"], 
 "F 2 2 -1d" :> $SpaceGroups["Fddd"], "Fddd" :> $SpaceGroups["Fddd"], 
 "Fddd:1" :> $SpaceGroups["Fddd"], "F2/d2/d2/d" :> $SpaceGroups["Fddd"], 
 "F2/d2/d2/d:1" :> $SpaceGroups["Fddd"], "F22-1d" :> $SpaceGroups["Fddd"], 
 "Fm\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> $SpaceGroups["Fm-3"], 
 "F m -3" :> $SpaceGroups["Fm-3"], "F 2/m -3" :> $SpaceGroups["Fm-3"], 
 "-F 2 2 3" :> $SpaceGroups["Fm-3"], 
 "Fm\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Fm-3"], 
 "Fm-3" :> $SpaceGroups["Fm-3"], "F2/m-3" :> $SpaceGroups["Fm-3"], 
 "-F223" :> $SpaceGroups["Fm-3"], "Fm\!\(\*OverscriptBox[\(3\), \(_\)]\)c" :> 
  $SpaceGroups["Fm-3c"], "F m -3 c" :> $SpaceGroups["Fm-3c"], 
 "F 4/m -3 2/c" :> $SpaceGroups["Fm-3c"], 
 "-F 4c 2 3" :> $SpaceGroups["Fm-3c"], 
 "Fm\!\(\*OverscriptBox[\(3\),\(_\)]\)c" :> $SpaceGroups["Fm-3c"], 
 "Fm-3c" :> $SpaceGroups["Fm-3c"], "F4/m-32/c" :> $SpaceGroups["Fm-3c"], 
 "-F4c23" :> $SpaceGroups["Fm-3c"], 
 "Fm\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> $SpaceGroups["Fm-3m"], 
 "F m -3 m" :> $SpaceGroups["Fm-3m"], "F 4/m -3 2/m" :> 
  $SpaceGroups["Fm-3m"], "-F 4 2 3" :> $SpaceGroups["Fm-3m"], 
 "Fm\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> $SpaceGroups["Fm-3m"], 
 "Fm-3m" :> $SpaceGroups["Fm-3m"], "F4/m-32/m" :> $SpaceGroups["Fm-3m"], 
 "-F423" :> $SpaceGroups["Fm-3m"], "F m m 2" :> $SpaceGroups["Fmm2"], 
 "F 2 -2" :> $SpaceGroups["Fmm2"], "Fmm2" :> $SpaceGroups["Fmm2"], 
 "F2-2" :> $SpaceGroups["Fmm2"], "F m m m" :> $SpaceGroups["Fmmm"], 
 "F 2/m 2/m 2/m" :> $SpaceGroups["Fmmm"], "-F 2 2" :> $SpaceGroups["Fmmm"], 
 "Fmmm" :> $SpaceGroups["Fmmm"], "F2/m2/m2/m" :> $SpaceGroups["Fmmm"], 
 "-F22" :> $SpaceGroups["Fmmm"], "\!\(\*SubscriptBox[\(I2\), \
\(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)" \
:> $SpaceGroups["I212121"], "I 21 21 21" :> $SpaceGroups["I212121"], 
 "I 2b 2c" :> $SpaceGroups["I212121"], "\!\(\*SubscriptBox[\(I2\),\(1\)]\)\!\
\(\*SubscriptBox[\(2\),\(1\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)" :> 
  $SpaceGroups["I212121"], "I212121" :> $SpaceGroups["I212121"], 
 "I2b2c" :> $SpaceGroups["I212121"], 
 "\!\(\*SubscriptBox[\(I2\), \(1\)]\)3" :> $SpaceGroups["I213"], 
 "I 21 3" :> $SpaceGroups["I213"], "I 2b 2c 3" :> $SpaceGroups["I213"], 
 "\!\(\*SubscriptBox[\(I2\),\(1\)]\)3" :> $SpaceGroups["I213"], 
 "I213" :> $SpaceGroups["I213"], "I2b2c3" :> $SpaceGroups["I213"], 
 "I 2 2 2" :> $SpaceGroups["I222"], "I 2 2" :> $SpaceGroups["I222"], 
 "I222" :> $SpaceGroups["I222"], "I22" :> $SpaceGroups["I222"], 
 "I 2 3" :> $SpaceGroups["I23"], "I 2 2 3" :> $SpaceGroups["I23"], 
 "I23" :> $SpaceGroups["I23"], "I223" :> $SpaceGroups["I23"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)" :> $SpaceGroups["I-4"], 
 "I -4" :> $SpaceGroups["I-4"], "I\!\(\*OverscriptBox[\(4\),\(_\)]\)" :> 
  $SpaceGroups["I-4"], "I-4" :> $SpaceGroups["I-4"], 
 "I 4" :> $SpaceGroups["I4"], "I4" :> $SpaceGroups["I4"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)" :> $SpaceGroups["I41"], 
 "I 41" :> $SpaceGroups["I41"], "I 4bw" :> $SpaceGroups["I41"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)" :> $SpaceGroups["I41"], 
 "I41" :> $SpaceGroups["I41"], "I4bw" :> $SpaceGroups["I41"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)22" :> $SpaceGroups["I4122"], 
 "I 41 2 2" :> $SpaceGroups["I4122"], "I 4bw 2bw" :> $SpaceGroups["I4122"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)22" :> $SpaceGroups["I4122"], 
 "I4122" :> $SpaceGroups["I4122"], "I4bw2bw" :> $SpaceGroups["I4122"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)32" :> $SpaceGroups["I4132"], 
 "I 41 3 2" :> $SpaceGroups["I4132"], "I 4bd 2c 3" :> $SpaceGroups["I4132"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)32" :> $SpaceGroups["I4132"], 
 "I4132" :> $SpaceGroups["I4132"], "I4bd2c3" :> $SpaceGroups["I4132"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/a:1" :> $SpaceGroups["I41/a"], 
 "I 41/a" :> $SpaceGroups["I41/a"], "I 41/a:1" :> $SpaceGroups["I41/a"], 
 "I 4bw -1bw" :> $SpaceGroups["I41/a"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/a" :> $SpaceGroups["I41/a"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/a:1" :> $SpaceGroups["I41/a"], 
 "I41/a" :> $SpaceGroups["I41/a"], "I41/a:1" :> $SpaceGroups["I41/a"], 
 "I4bw-1bw" :> $SpaceGroups["I41/a"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/a" :> $SpaceGroups["I41/a"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/acd:1" :> $SpaceGroups["I41/acd"], 
 "I 41/a c d:1" :> $SpaceGroups["I41/acd"], 
 "I 41/a 2/c 2/d" :> $SpaceGroups["I41/acd"], 
 "I 41/a 2/c 2/d:1" :> $SpaceGroups["I41/acd"], 
 "I 4bw 2aw -1bw" :> $SpaceGroups["I41/acd"], 
 "I 41/a c d" :> $SpaceGroups["I41/acd"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/acd" :> $SpaceGroups["I41/acd"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/acd:1" :> $SpaceGroups["I41/acd"], 
 "I41/acd:1" :> $SpaceGroups["I41/acd"], 
 "I41/a2/c2/d" :> $SpaceGroups["I41/acd"], 
 "I41/a2/c2/d:1" :> $SpaceGroups["I41/acd"], 
 "I4bw2aw-1bw" :> $SpaceGroups["I41/acd"], 
 "I41/acd" :> $SpaceGroups["I41/acd"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/acd" :> $SpaceGroups["I41/acd"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/amd:1" :> $SpaceGroups["I41/amd"], 
 "I 41/a m d" :> $SpaceGroups["I41/amd"], 
 "I 41/a m d:1" :> $SpaceGroups["I41/amd"], 
 "I 41/a 2/m 2/d" :> $SpaceGroups["I41/amd"], 
 "I 41/a 2/m 2/d:1" :> $SpaceGroups["I41/amd"], 
 "I 4bw 2bw -1bw" :> $SpaceGroups["I41/amd"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/amd" :> $SpaceGroups["I41/amd"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/amd:1" :> $SpaceGroups["I41/amd"], 
 "I41/amd" :> $SpaceGroups["I41/amd"], 
 "I41/amd:1" :> $SpaceGroups["I41/amd"], 
 "I41/a2/m2/d" :> $SpaceGroups["I41/amd"], 
 "I41/a2/m2/d:1" :> $SpaceGroups["I41/amd"], 
 "I4bw2bw-1bw" :> $SpaceGroups["I41/amd"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/amd" :> $SpaceGroups["I41/amd"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)cd" :> $SpaceGroups["I41cd"], 
 "I 41 c d" :> $SpaceGroups["I41cd"], "I 4bw -2c" :> $SpaceGroups["I41cd"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)cd" :> $SpaceGroups["I41cd"], 
 "I41cd" :> $SpaceGroups["I41cd"], "I4bw-2c" :> $SpaceGroups["I41cd"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)md" :> $SpaceGroups["I41md"], 
 "I 41 m d" :> $SpaceGroups["I41md"], "I 4bw -2" :> $SpaceGroups["I41md"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)md" :> $SpaceGroups["I41md"], 
 "I41md" :> $SpaceGroups["I41md"], "I4bw-2" :> $SpaceGroups["I41md"], 
 "I 4 2 2" :> $SpaceGroups["I422"], "I 4 2" :> $SpaceGroups["I422"], 
 "I422" :> $SpaceGroups["I422"], "I42" :> $SpaceGroups["I422"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)2d" :> $SpaceGroups["I-42d"], 
 "I -4 2 d" :> $SpaceGroups["I-42d"], "I -4 2bw" :> $SpaceGroups["I-42d"], 
 "I\!\(\*OverscriptBox[\(4\),\(_\)]\)2d" :> $SpaceGroups["I-42d"], 
 "I-42d" :> $SpaceGroups["I-42d"], "I-42bw" :> $SpaceGroups["I-42d"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)2m" :> $SpaceGroups["I-42m"], 
 "I -4 2 m" :> $SpaceGroups["I-42m"], "I -4 2" :> $SpaceGroups["I-42m"], 
 "I\!\(\*OverscriptBox[\(4\),\(_\)]\)2m" :> $SpaceGroups["I-42m"], 
 "I-42m" :> $SpaceGroups["I-42m"], "I-42" :> $SpaceGroups["I-42m"], 
 "I 4 3 2" :> $SpaceGroups["I432"], "I 4 2 3" :> $SpaceGroups["I432"], 
 "I432" :> $SpaceGroups["I432"], "I423" :> $SpaceGroups["I432"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)3d" :> $SpaceGroups["I-43d"], 
 "I -4 3 d" :> $SpaceGroups["I-43d"], "I -4bd 2c 3" :> $SpaceGroups["I-43d"], 
 "I\!\(\*OverscriptBox[\(4\),\(_\)]\)3d" :> $SpaceGroups["I-43d"], 
 "I-43d" :> $SpaceGroups["I-43d"], "I-4bd2c3" :> $SpaceGroups["I-43d"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)3m" :> $SpaceGroups["I-43m"], 
 "I -4 3 m" :> $SpaceGroups["I-43m"], "I -4 2 3" :> $SpaceGroups["I-43m"], 
 "I\!\(\*OverscriptBox[\(4\),\(_\)]\)3m" :> $SpaceGroups["I-43m"], 
 "I-43m" :> $SpaceGroups["I-43m"], "I-423" :> $SpaceGroups["I-43m"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)c2" :> $SpaceGroups["I-4c2"], 
 "I -4 c 2" :> $SpaceGroups["I-4c2"], "I -4 -2c" :> $SpaceGroups["I-4c2"], 
 "I\!\(\*OverscriptBox[\(4\),\(_\)]\)c2" :> $SpaceGroups["I-4c2"], 
 "I-4c2" :> $SpaceGroups["I-4c2"], "I-4-2c" :> $SpaceGroups["I-4c2"], 
 "I 4 c m" :> $SpaceGroups["I4cm"], "I 4 -2c" :> $SpaceGroups["I4cm"], 
 "I4cm" :> $SpaceGroups["I4cm"], "I4-2c" :> $SpaceGroups["I4cm"], 
 "I 4/m" :> $SpaceGroups["I4/m"], "-I 4" :> $SpaceGroups["I4/m"], 
 "I4/m" :> $SpaceGroups["I4/m"], "-I4" :> $SpaceGroups["I4/m"], 
 "I\!\(\*OverscriptBox[\(4\), \(_\)]\)m2" :> $SpaceGroups["I-4m2"], 
 "I -4 m 2" :> $SpaceGroups["I-4m2"], "I -4 -2" :> $SpaceGroups["I-4m2"], 
 "I\!\(\*OverscriptBox[\(4\),\(_\)]\)m2" :> $SpaceGroups["I-4m2"], 
 "I-4m2" :> $SpaceGroups["I-4m2"], "I-4-2" :> $SpaceGroups["I-4m2"], 
 "I 4/m c m" :> $SpaceGroups["I4/mcm"], "I 4/m 2/c 2/m" :> 
  $SpaceGroups["I4/mcm"], "-I 4 2c" :> $SpaceGroups["I4/mcm"], 
 "I4/mcm" :> $SpaceGroups["I4/mcm"], "I4/m2/c2/m" :> $SpaceGroups["I4/mcm"], 
 "-I42c" :> $SpaceGroups["I4/mcm"], "I 4 m m" :> $SpaceGroups["I4mm"], 
 "I 4 -2" :> $SpaceGroups["I4mm"], "I4mm" :> $SpaceGroups["I4mm"], 
 "I4-2" :> $SpaceGroups["I4mm"], "I 4/m m m" :> $SpaceGroups["I4/mmm"], 
 "I 4/m 2/m 2/m" :> $SpaceGroups["I4/mmm"], 
 "-I 4 2" :> $SpaceGroups["I4/mmm"], "I4/mmm" :> $SpaceGroups["I4/mmm"], 
 "I4/m2/m2/m" :> $SpaceGroups["I4/mmm"], "-I42" :> $SpaceGroups["I4/mmm"], 
 "Ia\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> $SpaceGroups["Ia-3"], 
 "I a -3" :> $SpaceGroups["Ia-3"], "I 21/a -3" :> $SpaceGroups["Ia-3"], 
 "-I 2b 2c 3" :> $SpaceGroups["Ia-3"], 
 "Ia\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Ia-3"], 
 "Ia-3" :> $SpaceGroups["Ia-3"], "I21/a-3" :> $SpaceGroups["Ia-3"], 
 "-I2b2c3" :> $SpaceGroups["Ia-3"], 
 "Ia\!\(\*OverscriptBox[\(3\), \(_\)]\)d" :> $SpaceGroups["Ia-3d"], 
 "I a -3 d" :> $SpaceGroups["Ia-3d"], "I 41/a -3 2/d" :> 
  $SpaceGroups["Ia-3d"], "-I 4bd 2c 3" :> $SpaceGroups["Ia-3d"], 
 "Ia\!\(\*OverscriptBox[\(3\),\(_\)]\)d" :> $SpaceGroups["Ia-3d"], 
 "Ia-3d" :> $SpaceGroups["Ia-3d"], "I41/a-32/d" :> $SpaceGroups["Ia-3d"], 
 "-I4bd2c3" :> $SpaceGroups["Ia-3d"], "I b a 2" :> $SpaceGroups["Iba2"], 
 "I 2 -2c" :> $SpaceGroups["Iba2"], "Iba2" :> $SpaceGroups["Iba2"], 
 "I2-2c" :> $SpaceGroups["Iba2"], "I b a m" :> $SpaceGroups["Ibam"], 
 "I 2/b 2/a 2/m" :> $SpaceGroups["Ibam"], "-I 2 2c" :> $SpaceGroups["Ibam"], 
 "Ibam" :> $SpaceGroups["Ibam"], "I2/b2/a2/m" :> $SpaceGroups["Ibam"], 
 "-I22c" :> $SpaceGroups["Ibam"], "I b c a" :> $SpaceGroups["Ibca"], 
 "I 2/b 2/c 2/a" :> $SpaceGroups["Ibca"], "-I 2b 2c" :> $SpaceGroups["Ibca"], 
 "Ibca" :> $SpaceGroups["Ibca"], "I2/b2/c2/a" :> $SpaceGroups["Ibca"], 
 "-I2b2c" :> $SpaceGroups["Ibca"], "Im\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $SpaceGroups["Im-3"], "I m -3" :> $SpaceGroups["Im-3"], 
 "I 2/m -3" :> $SpaceGroups["Im-3"], "-I 2 2 3" :> $SpaceGroups["Im-3"], 
 "Im\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Im-3"], 
 "Im-3" :> $SpaceGroups["Im-3"], "I2/m-3" :> $SpaceGroups["Im-3"], 
 "-I223" :> $SpaceGroups["Im-3"], "Im\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> 
  $SpaceGroups["Im-3m"], "I m -3 m" :> $SpaceGroups["Im-3m"], 
 "I 4/m -3 2/m" :> $SpaceGroups["Im-3m"], 
 "-I 4 2 3" :> $SpaceGroups["Im-3m"], 
 "Im\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> $SpaceGroups["Im-3m"], 
 "Im-3m" :> $SpaceGroups["Im-3m"], "I4/m-32/m" :> $SpaceGroups["Im-3m"], 
 "-I423" :> $SpaceGroups["Im-3m"], "I m a 2" :> $SpaceGroups["Ima2"], 
 "I 2 -2a" :> $SpaceGroups["Ima2"], "Ima2" :> $SpaceGroups["Ima2"], 
 "I2-2a" :> $SpaceGroups["Ima2"], "I m m 2" :> $SpaceGroups["Imm2"], 
 "I 2 -2" :> $SpaceGroups["Imm2"], "Imm2" :> $SpaceGroups["Imm2"], 
 "I2-2" :> $SpaceGroups["Imm2"], "I m m a" :> $SpaceGroups["Imma"], 
 "I 2/m 2/m 2/a" :> $SpaceGroups["Imma"], "-I 2b 2" :> $SpaceGroups["Imma"], 
 "Imma" :> $SpaceGroups["Imma"], "I2/m2/m2/a" :> $SpaceGroups["Imma"], 
 "-I2b2" :> $SpaceGroups["Imma"], "I m m m" :> $SpaceGroups["Immm"], 
 "-I 2 2" :> $SpaceGroups["Immm"], "Immm" :> $SpaceGroups["Immm"], 
 "-I22" :> $SpaceGroups["Immm"], "P\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> 
  $SpaceGroups["P-1"], "P -1" :> $SpaceGroups["P-1"], 
 "P 1 -1 1" :> $SpaceGroups["P-1"], "-P 1" :> $SpaceGroups["P-1"], 
 "P\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> $SpaceGroups["P-1"], 
 "P-1" :> $SpaceGroups["P-1"], "P1-11" :> $SpaceGroups["P-1"], 
 "-P1" :> $SpaceGroups["P-1"], "P 1 1 1" :> $SpaceGroups["P1"], 
 "P 1" :> $SpaceGroups["P1"], "P111" :> $SpaceGroups["P1"], 
 "P1" :> $SpaceGroups["P1"], "P 1 2 1" :> $SpaceGroups["P2"], 
 "P 2y" :> $SpaceGroups["P2"], "P 2" :> $SpaceGroups["P2"], 
 "P121" :> $SpaceGroups["P2"], "P2y" :> $SpaceGroups["P2"], 
 "P2" :> $SpaceGroups["P2"], "P 1 21 1" :> $SpaceGroups["P21"], 
 "P 2yb" :> $SpaceGroups["P21"], "P 21" :> $SpaceGroups["P21"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)" :> $SpaceGroups["P21"], 
 "P1211" :> $SpaceGroups["P21"], "P2yb" :> $SpaceGroups["P21"], 
 "P21" :> $SpaceGroups["P21"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)" :> 
  $SpaceGroups["P21"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)2" :> 
  $SpaceGroups["P21212"], "P 21 21 2" :> $SpaceGroups["P21212"], 
 "P 2 2ab" :> $SpaceGroups["P21212"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)2" :> 
  $SpaceGroups["P21212"], "P21212" :> $SpaceGroups["P21212"], 
 "P22ab" :> $SpaceGroups["P21212"], "\!\(\*SubscriptBox[\(P2\), \
\(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)" \
:> $SpaceGroups["P212121"], "P 21 21 21" :> $SpaceGroups["P212121"], 
 "P 2ac 2ab" :> $SpaceGroups["P212121"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)\
\!\(\*SubscriptBox[\(2\),\(1\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)" :> 
  $SpaceGroups["P212121"], "P212121" :> $SpaceGroups["P212121"], 
 "P2ac2ab" :> $SpaceGroups["P212121"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)3" :> $SpaceGroups["P213"], 
 "P 21 3" :> $SpaceGroups["P213"], "P 2ac 2ab 3" :> $SpaceGroups["P213"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)3" :> $SpaceGroups["P213"], 
 "P213" :> $SpaceGroups["P213"], "P2ac2ab3" :> $SpaceGroups["P213"], 
 "P 1 21/c 1" :> $SpaceGroups["P21/c"], "-P 2ybc" :> $SpaceGroups["P21/c"], 
 "P 21/c" :> $SpaceGroups["P21/c"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)/c" :> $SpaceGroups["P21/c"], 
 "P121/c1" :> $SpaceGroups["P21/c"], "-P2ybc" :> $SpaceGroups["P21/c"], 
 "P21/c" :> $SpaceGroups["P21/c"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)/c" :> 
  $SpaceGroups["P21/c"], "P 1 21/m 1" :> $SpaceGroups["P21/m"], 
 "-P 2yb" :> $SpaceGroups["P21/m"], "P 21/m" :> $SpaceGroups["P21/m"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)/m" :> $SpaceGroups["P21/m"], 
 "P121/m1" :> $SpaceGroups["P21/m"], "-P2yb" :> $SpaceGroups["P21/m"], 
 "P21/m" :> $SpaceGroups["P21/m"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)/m" :> 
  $SpaceGroups["P21/m"], "P 2 2 2" :> $SpaceGroups["P222"], 
 "P 2 2" :> $SpaceGroups["P222"], "P222" :> $SpaceGroups["P222"], 
 "P22" :> $SpaceGroups["P222"], "\!\(\*SubscriptBox[\(P222\), \(1\)]\)" :> 
  $SpaceGroups["P2221"], "P 2 2 21" :> $SpaceGroups["P2221"], 
 "P 2c 2" :> $SpaceGroups["P2221"], "\!\(\*SubscriptBox[\(P222\),\(1\)]\)" :> 
  $SpaceGroups["P2221"], "P2221" :> $SpaceGroups["P2221"], 
 "P2c2" :> $SpaceGroups["P2221"], "P 2 3" :> $SpaceGroups["P23"], 
 "P 2 2 3" :> $SpaceGroups["P23"], "P23" :> $SpaceGroups["P23"], 
 "P223" :> $SpaceGroups["P23"], "P 1 2/c 1" :> $SpaceGroups["P2/c"], 
 "-P 2yc" :> $SpaceGroups["P2/c"], "P 2/c" :> $SpaceGroups["P2/c"], 
 "P12/c1" :> $SpaceGroups["P2/c"], "-P2yc" :> $SpaceGroups["P2/c"], 
 "P2/c" :> $SpaceGroups["P2/c"], "P 1 2/m 1" :> $SpaceGroups["P2/m"], 
 "-P 2y" :> $SpaceGroups["P2/m"], "P 2/m" :> $SpaceGroups["P2/m"], 
 "P12/m1" :> $SpaceGroups["P2/m"], "-P2y" :> $SpaceGroups["P2/m"], 
 "P2/m" :> $SpaceGroups["P2/m"], "P\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $SpaceGroups["P-3"], "P -3" :> $SpaceGroups["P-3"], 
 "-P 3" :> $SpaceGroups["P-3"], "P\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> 
  $SpaceGroups["P-3"], "P-3" :> $SpaceGroups["P-3"], 
 "-P3" :> $SpaceGroups["P-3"], "P 3" :> $SpaceGroups["P3"], 
 "P3" :> $SpaceGroups["P3"], "\!\(\*SubscriptBox[\(P3\), \(1\)]\)" :> 
  $SpaceGroups["P31"], "P 31" :> $SpaceGroups["P31"], 
 "\!\(\*SubscriptBox[\(P3\),\(1\)]\)" :> $SpaceGroups["P31"], 
 "P31" :> $SpaceGroups["P31"], "\!\(\*SubscriptBox[\(P3\), \(1\)]\)12" :> 
  $SpaceGroups["P3112"], "P 31 1 2" :> $SpaceGroups["P3112"], 
 "P 31 2c (0 0 1)" :> $SpaceGroups["P3112"], 
 "\!\(\*SubscriptBox[\(P3\),\(1\)]\)12" :> $SpaceGroups["P3112"], 
 "P3112" :> $SpaceGroups["P3112"], "P312c(001)" :> $SpaceGroups["P3112"], 
 "P 3 1 2" :> $SpaceGroups["P312"], "P 3 2" :> $SpaceGroups["P312"], 
 "P312" :> $SpaceGroups["P312"], "P32" :> $SpaceGroups["P312"], 
 "\!\(\*SubscriptBox[\(P3\), \(1\)]\)21" :> $SpaceGroups["P3121"], 
 "P 31 2 1" :> $SpaceGroups["P3121"], "P 31 2\"" :> $SpaceGroups["P3121"], 
 "\!\(\*SubscriptBox[\(P3\),\(1\)]\)21" :> $SpaceGroups["P3121"], 
 "P3121" :> $SpaceGroups["P3121"], "P312\"" :> $SpaceGroups["P3121"], 
 "P\!\(\*OverscriptBox[\(3\), \(_\)]\)1c" :> $SpaceGroups["P-31c"], 
 "P -3 1 c" :> $SpaceGroups["P-31c"], "P -3 1 2/c" :> $SpaceGroups["P-31c"], 
 "-P 3 2c" :> $SpaceGroups["P-31c"], 
 "P\!\(\*OverscriptBox[\(3\),\(_\)]\)1c" :> $SpaceGroups["P-31c"], 
 "P-31c" :> $SpaceGroups["P-31c"], "P-312/c" :> $SpaceGroups["P-31c"], 
 "-P32c" :> $SpaceGroups["P-31c"], "P 3 1 c" :> $SpaceGroups["P31c"], 
 "P 3 -2c" :> $SpaceGroups["P31c"], "P31c" :> $SpaceGroups["P31c"], 
 "P3-2c" :> $SpaceGroups["P31c"], "P\!\(\*OverscriptBox[\(3\), \(_\)]\)1m" :> 
  $SpaceGroups["P-31m"], "P -3 1 m" :> $SpaceGroups["P-31m"], 
 "P -3 1 2/m" :> $SpaceGroups["P-31m"], "-P 3 2" :> $SpaceGroups["P-31m"], 
 "P\!\(\*OverscriptBox[\(3\),\(_\)]\)1m" :> $SpaceGroups["P-31m"], 
 "P-31m" :> $SpaceGroups["P-31m"], "P-312/m" :> $SpaceGroups["P-31m"], 
 "-P32" :> $SpaceGroups["P-31m"], "P 3 1 m" :> $SpaceGroups["P31m"], 
 "P 3 -2" :> $SpaceGroups["P31m"], "P31m" :> $SpaceGroups["P31m"], 
 "P3-2" :> $SpaceGroups["P31m"], "\!\(\*SubscriptBox[\(P3\), \(2\)]\)" :> 
  $SpaceGroups["P32"], "P 32" :> $SpaceGroups["P32"], 
 "\!\(\*SubscriptBox[\(P3\),\(2\)]\)" :> $SpaceGroups["P32"], 
 "P 3 2 1" :> $SpaceGroups["P321"], "P 3 2\"" :> $SpaceGroups["P321"], 
 "P321" :> $SpaceGroups["P321"], "P32\"" :> $SpaceGroups["P321"], 
 "\!\(\*SubscriptBox[\(P3\), \(2\)]\)12" :> $SpaceGroups["P3212"], 
 "P 32 1 2" :> $SpaceGroups["P3212"], "P 32 2c (0 0 -1)" :> 
  $SpaceGroups["P3212"], "\!\(\*SubscriptBox[\(P3\),\(2\)]\)12" :> 
  $SpaceGroups["P3212"], "P3212" :> $SpaceGroups["P3212"], 
 "P322c(00-1)" :> $SpaceGroups["P3212"], 
 "\!\(\*SubscriptBox[\(P3\), \(2\)]\)21" :> $SpaceGroups["P3221"], 
 "P 32 2 1" :> $SpaceGroups["P3221"], "P 32 2\"" :> $SpaceGroups["P3221"], 
 "\!\(\*SubscriptBox[\(P3\),\(2\)]\)21" :> $SpaceGroups["P3221"], 
 "P3221" :> $SpaceGroups["P3221"], "P322\"" :> $SpaceGroups["P3221"], 
 "P\!\(\*OverscriptBox[\(3\), \(_\)]\)c1" :> $SpaceGroups["P-3c1"], 
 "P -3 c 1" :> $SpaceGroups["P-3c1"], "P -3 2/c 1" :> $SpaceGroups["P-3c1"], 
 "-P 3 2\"c" :> $SpaceGroups["P-3c1"], 
 "P\!\(\*OverscriptBox[\(3\),\(_\)]\)c1" :> $SpaceGroups["P-3c1"], 
 "P-3c1" :> $SpaceGroups["P-3c1"], "P-32/c1" :> $SpaceGroups["P-3c1"], 
 "-P32\"c" :> $SpaceGroups["P-3c1"], "P 3 c 1" :> $SpaceGroups["P3c1"], 
 "P 3 -2\"c" :> $SpaceGroups["P3c1"], "P3c1" :> $SpaceGroups["P3c1"], 
 "P3-2\"c" :> $SpaceGroups["P3c1"], 
 "P\!\(\*OverscriptBox[\(3\), \(_\)]\)m1" :> $SpaceGroups["P-3m1"], 
 "P -3 m 1" :> $SpaceGroups["P-3m1"], "P -3 2/m 1" :> $SpaceGroups["P-3m1"], 
 "-P 3 2\"" :> $SpaceGroups["P-3m1"], 
 "P\!\(\*OverscriptBox[\(3\),\(_\)]\)m1" :> $SpaceGroups["P-3m1"], 
 "P-3m1" :> $SpaceGroups["P-3m1"], "P-32/m1" :> $SpaceGroups["P-3m1"], 
 "-P32\"" :> $SpaceGroups["P-3m1"], "P 3 m 1" :> $SpaceGroups["P3m1"], 
 "P 3 -2\"" :> $SpaceGroups["P3m1"], "P3m1" :> $SpaceGroups["P3m1"], 
 "P3-2\"" :> $SpaceGroups["P3m1"], "P\!\(\*OverscriptBox[\(4\), \(_\)]\)" :> 
  $SpaceGroups["P-4"], "P -4" :> $SpaceGroups["P-4"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)" :> $SpaceGroups["P-4"], 
 "P-4" :> $SpaceGroups["P-4"], "P 4" :> $SpaceGroups["P4"], 
 "P4" :> $SpaceGroups["P4"], "\!\(\*SubscriptBox[\(P4\), \(1\)]\)" :> 
  $SpaceGroups["P41"], "P 41" :> $SpaceGroups["P41"], 
 "P 4w" :> $SpaceGroups["P41"], "\!\(\*SubscriptBox[\(P4\),\(1\)]\)" :> 
  $SpaceGroups["P41"], "P41" :> $SpaceGroups["P41"], 
 "P4w" :> $SpaceGroups["P41"], 
 "\!\(\*SubscriptBox[\(P4\), \(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)2" :> 
  $SpaceGroups["P41212"], "P 41 21 2" :> $SpaceGroups["P41212"], 
 "P 4abw 2nw" :> $SpaceGroups["P41212"], 
 "\!\(\*SubscriptBox[\(P4\),\(1\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)2" :> 
  $SpaceGroups["P41212"], "P41212" :> $SpaceGroups["P41212"], 
 "P4abw2nw" :> $SpaceGroups["P41212"], 
 "\!\(\*SubscriptBox[\(P4\), \(1\)]\)22" :> $SpaceGroups["P4122"], 
 "P 41 2 2" :> $SpaceGroups["P4122"], "P 4w 2c" :> $SpaceGroups["P4122"], 
 "\!\(\*SubscriptBox[\(P4\),\(1\)]\)22" :> $SpaceGroups["P4122"], 
 "P4122" :> $SpaceGroups["P4122"], "P4w2c" :> $SpaceGroups["P4122"], 
 "\!\(\*SubscriptBox[\(P4\), \(1\)]\)32" :> $SpaceGroups["P4132"], 
 "P 41 3 2" :> $SpaceGroups["P4132"], "P 4bd 2ab 3" :> $SpaceGroups["P4132"], 
 "\!\(\*SubscriptBox[\(P4\),\(1\)]\)32" :> $SpaceGroups["P4132"], 
 "P4132" :> $SpaceGroups["P4132"], "P4bd2ab3" :> $SpaceGroups["P4132"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)" :> $SpaceGroups["P42"], 
 "P 42" :> $SpaceGroups["P42"], "P 4c" :> $SpaceGroups["P42"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)" :> $SpaceGroups["P42"], 
 "P4c" :> $SpaceGroups["P42"], "\!\(\*SubscriptBox[\(P42\), \(1\)]\)2" :> 
  $SpaceGroups["P4212"], "P 4 21 2" :> $SpaceGroups["P4212"], 
 "P 4ab 2ab" :> $SpaceGroups["P4212"], 
 "\!\(\*SubscriptBox[\(P42\),\(1\)]\)2" :> $SpaceGroups["P4212"], 
 "P4212" :> $SpaceGroups["P4212"], "P4ab2ab" :> $SpaceGroups["P4212"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)c" :> 
  $SpaceGroups["P-421c"], "P -4 21 c" :> $SpaceGroups["P-421c"], 
 "P -4 2n" :> $SpaceGroups["P-421c"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)c" :> 
  $SpaceGroups["P-421c"], "P-421c" :> $SpaceGroups["P-421c"], 
 "P-42n" :> $SpaceGroups["P-421c"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)m" :> 
  $SpaceGroups["P-421m"], "P -4 21 m" :> $SpaceGroups["P-421m"], 
 "P -4 2ab" :> $SpaceGroups["P-421m"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)m" :> 
  $SpaceGroups["P-421m"], "P-421m" :> $SpaceGroups["P-421m"], 
 "P-42ab" :> $SpaceGroups["P-421m"], "P 4 2 2" :> $SpaceGroups["P422"], 
 "P 4 2" :> $SpaceGroups["P422"], "P42" :> $SpaceGroups["P422"], 
 "P422" :> $SpaceGroups["P422"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)2" :> 
  $SpaceGroups["P42212"], "P 42 21 2" :> $SpaceGroups["P42212"], 
 "P 4n 2n" :> $SpaceGroups["P42212"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)2" :> 
  $SpaceGroups["P42212"], "P42212" :> $SpaceGroups["P42212"], 
 "P4n2n" :> $SpaceGroups["P42212"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)22" :> $SpaceGroups["P4222"], 
 "P 42 2 2" :> $SpaceGroups["P4222"], "P 4c 2" :> $SpaceGroups["P4222"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)22" :> $SpaceGroups["P4222"], 
 "P4222" :> $SpaceGroups["P4222"], "P4c2" :> $SpaceGroups["P4222"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)32" :> $SpaceGroups["P4232"], 
 "P 42 3 2" :> $SpaceGroups["P4232"], "P 4n 2 3" :> $SpaceGroups["P4232"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)32" :> $SpaceGroups["P4232"], 
 "P4232" :> $SpaceGroups["P4232"], "P4n23" :> $SpaceGroups["P4232"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)bc" :> $SpaceGroups["P42bc"], 
 "P 42 b c" :> $SpaceGroups["P42bc"], "P 4c -2ab" :> $SpaceGroups["P42bc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)bc" :> $SpaceGroups["P42bc"], 
 "P42bc" :> $SpaceGroups["P42bc"], "P4c-2ab" :> $SpaceGroups["P42bc"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)2c" :> $SpaceGroups["P-42c"], 
 "P -4 2 c" :> $SpaceGroups["P-42c"], "P -4 2c" :> $SpaceGroups["P-42c"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)2c" :> $SpaceGroups["P-42c"], 
 "P-42c" :> $SpaceGroups["P-42c"], "\!\(\*SubscriptBox[\(P4\), \(2\)]\)cm" :> 
  $SpaceGroups["P42cm"], "P 42 c m" :> $SpaceGroups["P42cm"], 
 "P 4c -2c" :> $SpaceGroups["P42cm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)cm" :> $SpaceGroups["P42cm"], 
 "P42cm" :> $SpaceGroups["P42cm"], "P4c-2c" :> $SpaceGroups["P42cm"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)2m" :> $SpaceGroups["P-42m"], 
 "P -4 2 m" :> $SpaceGroups["P-42m"], "P -4 2" :> $SpaceGroups["P-42m"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)2m" :> $SpaceGroups["P-42m"], 
 "P-42m" :> $SpaceGroups["P-42m"], "P-42" :> $SpaceGroups["P-42m"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/m" :> $SpaceGroups["P42/m"], 
 "P 42/m" :> $SpaceGroups["P42/m"], "-P 4c" :> $SpaceGroups["P42/m"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/m" :> $SpaceGroups["P42/m"], 
 "P42/m" :> $SpaceGroups["P42/m"], "-P4c" :> $SpaceGroups["P42/m"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/mbc" :> $SpaceGroups["P42/mbc"], 
 "P 42/m b c" :> $SpaceGroups["P42/mbc"], "P 42/m 21/b 2/c" :> 
  $SpaceGroups["P42/mbc"], "-P 4c 2ab" :> $SpaceGroups["P42/mbc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/mbc" :> $SpaceGroups["P42/mbc"], 
 "P42/mbc" :> $SpaceGroups["P42/mbc"], "P42/m21/b2/c" :> 
  $SpaceGroups["P42/mbc"], "-P4c2ab" :> $SpaceGroups["P42/mbc"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/mcm" :> $SpaceGroups["P42/mcm"], 
 "P 42/m c m" :> $SpaceGroups["P42/mcm"], "P 42/m 2/c 2/m" :> 
  $SpaceGroups["P42/mcm"], "-P 4c 2c" :> $SpaceGroups["P42/mcm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/mcm" :> $SpaceGroups["P42/mcm"], 
 "P42/mcm" :> $SpaceGroups["P42/mcm"], "P42/m2/c2/m" :> 
  $SpaceGroups["P42/mcm"], "-P4c2c" :> $SpaceGroups["P42/mcm"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/mmc" :> $SpaceGroups["P42/mmc"], 
 "P 42/m m c" :> $SpaceGroups["P42/mmc"], "P 42/m 2/m 2/c" :> 
  $SpaceGroups["P42/mmc"], "-P 4c 2" :> $SpaceGroups["P42/mmc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/mmc" :> $SpaceGroups["P42/mmc"], 
 "P42/mmc" :> $SpaceGroups["P42/mmc"], "P42/m2/m2/c" :> 
  $SpaceGroups["P42/mmc"], "-P4c2" :> $SpaceGroups["P42/mmc"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/mnm" :> $SpaceGroups["P42/mnm"], 
 "P 42/m n m" :> $SpaceGroups["P42/mnm"], "P 42/m 21/n 2/m" :> 
  $SpaceGroups["P42/mnm"], "-P 4n 2n" :> $SpaceGroups["P42/mnm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/mnm" :> $SpaceGroups["P42/mnm"], 
 "P42/mnm" :> $SpaceGroups["P42/mnm"], "P42/m21/n2/m" :> 
  $SpaceGroups["P42/mnm"], "-P4n2n" :> $SpaceGroups["P42/mnm"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/n:1" :> $SpaceGroups["P42/n"], 
 "P 42/n" :> $SpaceGroups["P42/n"], "P 42/n:1" :> $SpaceGroups["P42/n"], 
 "P 42/n:1:1" :> $SpaceGroups["P42/n"], "P 4n -1n" :> $SpaceGroups["P42/n"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/n" :> $SpaceGroups["P42/n"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/n:1" :> $SpaceGroups["P42/n"], 
 "P42/n" :> $SpaceGroups["P42/n"], "P42/n:1" :> $SpaceGroups["P42/n"], 
 "P42/n:1:1" :> $SpaceGroups["P42/n"], "P4n-1n" :> $SpaceGroups["P42/n"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/n" :> $SpaceGroups["P42/n"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nbc:1" :> $SpaceGroups["P42/nbc"], 
 "P 42/n b c" :> $SpaceGroups["P42/nbc"], 
 "P 42/n b c:1" :> $SpaceGroups["P42/nbc"], 
 "P 42/n 2/b 2/c" :> $SpaceGroups["P42/nbc"], 
 "P 42/n 2/b 2/c:1" :> $SpaceGroups["P42/nbc"], 
 "P 4n 2c -1n" :> $SpaceGroups["P42/nbc"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nbc" :> $SpaceGroups["P42/nbc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nbc:1" :> $SpaceGroups["P42/nbc"], 
 "P42/nbc" :> $SpaceGroups["P42/nbc"], 
 "P42/nbc:1" :> $SpaceGroups["P42/nbc"], 
 "P42/n2/b2/c" :> $SpaceGroups["P42/nbc"], 
 "P42/n2/b2/c:1" :> $SpaceGroups["P42/nbc"], 
 "P4n2c-1n" :> $SpaceGroups["P42/nbc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nbc" :> $SpaceGroups["P42/nbc"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/ncm:1" :> $SpaceGroups["P42/ncm"], 
 "P 42/n c m" :> $SpaceGroups["P42/ncm"], 
 "P 42/n c m:1" :> $SpaceGroups["P42/ncm"], 
 "P 42/n 21/c 2/m" :> $SpaceGroups["P42/ncm"], 
 "P 42/n 21/c 2/m:1" :> $SpaceGroups["P42/ncm"], 
 "P 4n 2ab -1n" :> $SpaceGroups["P42/ncm"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/ncm" :> $SpaceGroups["P42/ncm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/ncm:1" :> $SpaceGroups["P42/ncm"], 
 "P42/ncm" :> $SpaceGroups["P42/ncm"], 
 "P42/ncm:1" :> $SpaceGroups["P42/ncm"], "P42/n21/c2/m" :> 
  $SpaceGroups["P42/ncm"], "P42/n21/c2/m:1" :> $SpaceGroups["P42/ncm"], 
 "P4n2ab-1n" :> $SpaceGroups["P42/ncm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/ncm" :> $SpaceGroups["P42/ncm"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)nm" :> $SpaceGroups["P42nm"], 
 "P 42 n m" :> $SpaceGroups["P42nm"], "P 4n -2n" :> $SpaceGroups["P42nm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)nm" :> $SpaceGroups["P42nm"], 
 "P42nm" :> $SpaceGroups["P42nm"], "P4n-2n" :> $SpaceGroups["P42nm"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nmc:1" :> $SpaceGroups["P42/nmc"], 
 "P 42/n m c" :> $SpaceGroups["P42/nmc"], 
 "P 42/n m c:1" :> $SpaceGroups["P42/nmc"], 
 "P 42/n 21/m 2/c" :> $SpaceGroups["P42/nmc"], 
 "P 42/n 21/m 2/c:1" :> $SpaceGroups["P42/nmc"], 
 "P 4n 2n -1n" :> $SpaceGroups["P42/nmc"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nmc" :> $SpaceGroups["P42/nmc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nmc:1" :> $SpaceGroups["P42/nmc"], 
 "P42/nmc" :> $SpaceGroups["P42/nmc"], 
 "P42/nmc:1" :> $SpaceGroups["P42/nmc"], "P42/n21/m2/c" :> 
  $SpaceGroups["P42/nmc"], "P42/n21/m2/c:1" :> $SpaceGroups["P42/nmc"], 
 "P4n2n-1n" :> $SpaceGroups["P42/nmc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nmc" :> $SpaceGroups["P42/nmc"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nnm:1" :> $SpaceGroups["P42/nnm"], 
 "P 42/n n m" :> $SpaceGroups["P42/nnm"], 
 "P 42/n n m:1" :> $SpaceGroups["P42/nnm"], 
 "P 42/n 2/n 2/m" :> $SpaceGroups["P42/nnm"], 
 "P 42/n 2/n 2/m:1" :> $SpaceGroups["P42/nnm"], 
 "P 4n 2 -1n" :> $SpaceGroups["P42/nnm"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nnm" :> $SpaceGroups["P42/nnm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nnm:1" :> $SpaceGroups["P42/nnm"], 
 "P42/nnm" :> $SpaceGroups["P42/nnm"], 
 "P42/nnm:1" :> $SpaceGroups["P42/nnm"], 
 "P42/n2/n2/m" :> $SpaceGroups["P42/nnm"], 
 "P42/n2/n2/m:1" :> $SpaceGroups["P42/nnm"], 
 "P4n2-1n" :> $SpaceGroups["P42/nnm"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nnm" :> $SpaceGroups["P42/nnm"], 
 "\!\(\*SubscriptBox[\(P4\), \(3\)]\)" :> $SpaceGroups["P43"], 
 "P 43" :> $SpaceGroups["P43"], "P 4cw" :> $SpaceGroups["P43"], 
 "\!\(\*SubscriptBox[\(P4\),\(3\)]\)" :> $SpaceGroups["P43"], 
 "P43" :> $SpaceGroups["P43"], "P4cw" :> $SpaceGroups["P43"], 
 "P 4 3 2" :> $SpaceGroups["P432"], "P 4 2 3" :> $SpaceGroups["P432"], 
 "P432" :> $SpaceGroups["P432"], "P423" :> $SpaceGroups["P432"], 
 "\!\(\*SubscriptBox[\(P4\), \(3\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)2" :> 
  $SpaceGroups["P43212"], "P 43 21 2" :> $SpaceGroups["P43212"], 
 "P 4nw 2abw" :> $SpaceGroups["P43212"], 
 "\!\(\*SubscriptBox[\(P4\),\(3\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)2" :> 
  $SpaceGroups["P43212"], "P43212" :> $SpaceGroups["P43212"], 
 "P4nw2abw" :> $SpaceGroups["P43212"], 
 "\!\(\*SubscriptBox[\(P4\), \(3\)]\)22" :> $SpaceGroups["P4322"], 
 "P 43 2 2" :> $SpaceGroups["P4322"], "P 4cw 2c" :> $SpaceGroups["P4322"], 
 "\!\(\*SubscriptBox[\(P4\),\(3\)]\)22" :> $SpaceGroups["P4322"], 
 "P4322" :> $SpaceGroups["P4322"], "P4cw2c" :> $SpaceGroups["P4322"], 
 "\!\(\*SubscriptBox[\(P4\), \(3\)]\)32" :> $SpaceGroups["P4332"], 
 "P 43 3 2" :> $SpaceGroups["P4332"], "P 4acd 2ab 3" :> 
  $SpaceGroups["P4332"], "\!\(\*SubscriptBox[\(P4\),\(3\)]\)32" :> 
  $SpaceGroups["P4332"], "P4332" :> $SpaceGroups["P4332"], 
 "P4acd2ab3" :> $SpaceGroups["P4332"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)3m" :> $SpaceGroups["P-43m"], 
 "P -4 3 m" :> $SpaceGroups["P-43m"], "P -4 2 3" :> $SpaceGroups["P-43m"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)3m" :> $SpaceGroups["P-43m"], 
 "P-43m" :> $SpaceGroups["P-43m"], "P-423" :> $SpaceGroups["P-43m"], 
 "P43mc" :> $SpaceGroups["P43mc"], "\!\(\*SubscriptBox[\(P4\), \(2\)]\)mc" :> 
  $SpaceGroups["P43mc"], "P 42 m c" :> $SpaceGroups["P43mc"], 
 "P 4c -2" :> $SpaceGroups["P43mc"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)mc" :> $SpaceGroups["P43mc"], 
 "P42mc" :> $SpaceGroups["P43mc"], "P4c-2" :> $SpaceGroups["P43mc"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)3n" :> $SpaceGroups["P-43n"], 
 "P -4 3 n" :> $SpaceGroups["P-43n"], "P -4n 2 3" :> $SpaceGroups["P-43n"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)3n" :> $SpaceGroups["P-43n"], 
 "P-43n" :> $SpaceGroups["P-43n"], "P-4n23" :> $SpaceGroups["P-43n"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)b2" :> $SpaceGroups["P-4b2"], 
 "P -4 b 2" :> $SpaceGroups["P-4b2"], "P -4 -2ab" :> $SpaceGroups["P-4b2"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)b2" :> $SpaceGroups["P-4b2"], 
 "P-4b2" :> $SpaceGroups["P-4b2"], "P-4-2ab" :> $SpaceGroups["P-4b2"], 
 "P 4 b m" :> $SpaceGroups["P4bm"], "P 4 -2ab" :> $SpaceGroups["P4bm"], 
 "P4bm" :> $SpaceGroups["P4bm"], "P4-2ab" :> $SpaceGroups["P4bm"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)c2" :> $SpaceGroups["P-4c2"], 
 "P -4 c 2" :> $SpaceGroups["P-4c2"], "P -4 -2c" :> $SpaceGroups["P-4c2"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)c2" :> $SpaceGroups["P-4c2"], 
 "P-4c2" :> $SpaceGroups["P-4c2"], "P-4-2c" :> $SpaceGroups["P-4c2"], 
 "P 4 c c" :> $SpaceGroups["P4cc"], "P 4 -2c" :> $SpaceGroups["P4cc"], 
 "P4cc" :> $SpaceGroups["P4cc"], "P4-2c" :> $SpaceGroups["P4cc"], 
 "P 4/m" :> $SpaceGroups["P4/m"], "-P 4" :> $SpaceGroups["P4/m"], 
 "P4/m" :> $SpaceGroups["P4/m"], "-P4" :> $SpaceGroups["P4/m"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)m2" :> $SpaceGroups["P-4m2"], 
 "P -4 m 2" :> $SpaceGroups["P-4m2"], "P -4 -2" :> $SpaceGroups["P-4m2"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)m2" :> $SpaceGroups["P-4m2"], 
 "P-4m2" :> $SpaceGroups["P-4m2"], "P-4-2" :> $SpaceGroups["P-4m2"], 
 "P 4/m b m" :> $SpaceGroups["P4/mbm"], "P 4/m 21/b 2/m" :> 
  $SpaceGroups["P4/mbm"], "-P 4 2ab" :> $SpaceGroups["P4/mbm"], 
 "P4/mbm" :> $SpaceGroups["P4/mbm"], "P4/m21/b2/m" :> $SpaceGroups["P4/mbm"], 
 "-P42ab" :> $SpaceGroups["P4/mbm"], "P 4/m c c" :> $SpaceGroups["P4/mcc"], 
 "P 4/m 2/c 2/c" :> $SpaceGroups["P4/mcc"], 
 "-P 4 2c" :> $SpaceGroups["P4/mcc"], "P4/mcc" :> $SpaceGroups["P4/mcc"], 
 "P4/m2/c2/c" :> $SpaceGroups["P4/mcc"], "-P42c" :> $SpaceGroups["P4/mcc"], 
 "P 4 m m" :> $SpaceGroups["P4mm"], "P 4 -2" :> $SpaceGroups["P4mm"], 
 "P4mm" :> $SpaceGroups["P4mm"], "P4-2" :> $SpaceGroups["P4mm"], 
 "P 4/m m m" :> $SpaceGroups["P4/mmm"], "P 4/m 2/m 2/m" :> 
  $SpaceGroups["P4/mmm"], "-P 4 2" :> $SpaceGroups["P4/mmm"], 
 "P4/mmm" :> $SpaceGroups["P4/mmm"], "P4/m2/m2/m" :> $SpaceGroups["P4/mmm"], 
 "-P42" :> $SpaceGroups["P4/mmm"], "P 4/m n c" :> $SpaceGroups["P4/mnc"], 
 "P 4/m 21/n 2/c" :> $SpaceGroups["P4/mnc"], 
 "-P 4 2n" :> $SpaceGroups["P4/mnc"], "P4/mnc" :> $SpaceGroups["P4/mnc"], 
 "P4/m21/n2/c" :> $SpaceGroups["P4/mnc"], "-P42n" :> $SpaceGroups["P4/mnc"], 
 "P 4/n" :> $SpaceGroups["P4/n"], "P 4/n:1" :> $SpaceGroups["P4/n"], 
 "P 4/n:1:1" :> $SpaceGroups["P4/n"], "P 4ab -1ab" :> $SpaceGroups["P4/n"], 
 "P4/n" :> $SpaceGroups["P4/n"], "P4/n:1" :> $SpaceGroups["P4/n"], 
 "P4/n:1:1" :> $SpaceGroups["P4/n"], "P4ab-1ab" :> $SpaceGroups["P4/n"], 
 "P\!\(\*OverscriptBox[\(4\), \(_\)]\)n2" :> $SpaceGroups["P-4n2"], 
 "P -4 n 2" :> $SpaceGroups["P-4n2"], "P -4 -2n" :> $SpaceGroups["P-4n2"], 
 "P\!\(\*OverscriptBox[\(4\),\(_\)]\)n2" :> $SpaceGroups["P-4n2"], 
 "P-4n2" :> $SpaceGroups["P-4n2"], "P-4-2n" :> $SpaceGroups["P-4n2"], 
 "P 4/n b m" :> $SpaceGroups["P4/nbm"], 
 "P 4/n b m:1" :> $SpaceGroups["P4/nbm"], "P 4/n 2/b 2/m" :> 
  $SpaceGroups["P4/nbm"], "P 4/n 2/b 2/m:1" :> $SpaceGroups["P4/nbm"], 
 "P 4 2 -1ab" :> $SpaceGroups["P4/nbm"], "P4/nbm" :> $SpaceGroups["P4/nbm"], 
 "P4/nbm:1" :> $SpaceGroups["P4/nbm"], 
 "P4/n2/b2/m" :> $SpaceGroups["P4/nbm"], "P4/n2/b2/m:1" :> 
  $SpaceGroups["P4/nbm"], "P42-1ab" :> $SpaceGroups["P4/nbm"], 
 "P 4 n c" :> $SpaceGroups["P4nc"], "P 4 -2n" :> $SpaceGroups["P4nc"], 
 "P4nc" :> $SpaceGroups["P4nc"], "P4-2n" :> $SpaceGroups["P4nc"], 
 "P 4/n c c" :> $SpaceGroups["P4/ncc"], 
 "P 4/n c c:1" :> $SpaceGroups["P4/ncc"], "P 4/n 21/c 2/c" :> 
  $SpaceGroups["P4/ncc"], "P 4/n 21/c 2/c:1" :> $SpaceGroups["P4/ncc"], 
 "P 4ab 2n -1ab" :> $SpaceGroups["P4/ncc"], 
 "P4/ncc" :> $SpaceGroups["P4/ncc"], "P4/ncc:1" :> $SpaceGroups["P4/ncc"], 
 "P4/n21/c2/c" :> $SpaceGroups["P4/ncc"], "P4/n21/c2/c:1" :> 
  $SpaceGroups["P4/ncc"], "P4ab2n-1ab" :> $SpaceGroups["P4/ncc"], 
 "P 4/n m m" :> $SpaceGroups["P4/nmm"], 
 "P 4/n m m:1" :> $SpaceGroups["P4/nmm"], "P 4/n 21/m 2/m" :> 
  $SpaceGroups["P4/nmm"], "P 4/n 21/m 2/m:1" :> $SpaceGroups["P4/nmm"], 
 "P 4ab 2ab -1ab" :> $SpaceGroups["P4/nmm"], 
 "P4/nmm" :> $SpaceGroups["P4/nmm"], "P4/nmm:1" :> $SpaceGroups["P4/nmm"], 
 "P4/n21/m2/m" :> $SpaceGroups["P4/nmm"], "P4/n21/m2/m:1" :> 
  $SpaceGroups["P4/nmm"], "P4ab2ab-1ab" :> $SpaceGroups["P4/nmm"], 
 "P 4/n n c" :> $SpaceGroups["P4/nnc"], 
 "P 4/n n c:1" :> $SpaceGroups["P4/nnc"], "P 4/n 2/n 2/c" :> 
  $SpaceGroups["P4/nnc"], "P 4/n 2/n 2/c:1" :> $SpaceGroups["P4/nnc"], 
 "P 4 2 -1n" :> $SpaceGroups["P4/nnc"], "P4/nnc" :> $SpaceGroups["P4/nnc"], 
 "P4/nnc:1" :> $SpaceGroups["P4/nnc"], 
 "P4/n2/n2/c" :> $SpaceGroups["P4/nnc"], "P4/n2/n2/c:1" :> 
  $SpaceGroups["P4/nnc"], "P42-1n" :> $SpaceGroups["P4/nnc"], 
 "P\!\(\*OverscriptBox[\(6\), \(_\)]\)" :> $SpaceGroups["P-6"], 
 "P -6" :> $SpaceGroups["P-6"], "P\!\(\*OverscriptBox[\(6\),\(_\)]\)" :> 
  $SpaceGroups["P-6"], "P-6" :> $SpaceGroups["P-6"], 
 "P 6" :> $SpaceGroups["P6"], "P6" :> $SpaceGroups["P6"], 
 "\!\(\*SubscriptBox[\(P6\), \(1\)]\)" :> $SpaceGroups["P61"], 
 "P 61" :> $SpaceGroups["P61"], "\!\(\*SubscriptBox[\(P6\),\(1\)]\)" :> 
  $SpaceGroups["P61"], "P61" :> $SpaceGroups["P61"], 
 "\!\(\*SubscriptBox[\(P6\), \(1\)]\)22" :> $SpaceGroups["P6122"], 
 "P 61 2 2" :> $SpaceGroups["P6122"], "P 61 2 (0 0 -1)" :> 
  $SpaceGroups["P6122"], "\!\(\*SubscriptBox[\(P6\),\(1\)]\)22" :> 
  $SpaceGroups["P6122"], "P6122" :> $SpaceGroups["P6122"], 
 "P612(00-1)" :> $SpaceGroups["P6122"], 
 "\!\(\*SubscriptBox[\(P6\), \(2\)]\)" :> $SpaceGroups["P62"], 
 "P 62" :> $SpaceGroups["P62"], "\!\(\*SubscriptBox[\(P6\),\(2\)]\)" :> 
  $SpaceGroups["P62"], "P 6 2 2" :> $SpaceGroups["P622"], 
 "P 6 2" :> $SpaceGroups["P622"], "P622" :> $SpaceGroups["P622"], 
 "P62" :> $SpaceGroups["P622"], "\!\(\*SubscriptBox[\(P6\), \(2\)]\)22" :> 
  $SpaceGroups["P6222"], "P 62 2 2" :> $SpaceGroups["P6222"], 
 "P 62 2c (0 0 1)" :> $SpaceGroups["P6222"], 
 "\!\(\*SubscriptBox[\(P6\),\(2\)]\)22" :> $SpaceGroups["P6222"], 
 "P6222" :> $SpaceGroups["P6222"], "P622c(001)" :> $SpaceGroups["P6222"], 
 "P\!\(\*OverscriptBox[\(6\), \(_\)]\)2c" :> $SpaceGroups["P-62c"], 
 "P -6 2 c" :> $SpaceGroups["P-62c"], "P -6c -2c" :> $SpaceGroups["P-62c"], 
 "P\!\(\*OverscriptBox[\(6\),\(_\)]\)2c" :> $SpaceGroups["P-62c"], 
 "P-62c" :> $SpaceGroups["P-62c"], "P-6c-2c" :> $SpaceGroups["P-62c"], 
 "P\!\(\*OverscriptBox[\(6\), \(_\)]\)2m" :> $SpaceGroups["P-62m"], 
 "P -6 2 m" :> $SpaceGroups["P-62m"], "P -6 -2" :> $SpaceGroups["P-62m"], 
 "P\!\(\*OverscriptBox[\(6\),\(_\)]\)2m" :> $SpaceGroups["P-62m"], 
 "P-62m" :> $SpaceGroups["P-62m"], "P-6-2" :> $SpaceGroups["P-62m"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)" :> $SpaceGroups["P63"], 
 "P 63" :> $SpaceGroups["P63"], "P 6c" :> $SpaceGroups["P63"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)" :> $SpaceGroups["P63"], 
 "P63" :> $SpaceGroups["P63"], "P6c" :> $SpaceGroups["P63"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)22" :> $SpaceGroups["P6322"], 
 "P 63 2 2" :> $SpaceGroups["P6322"], "P 6c 2c" :> $SpaceGroups["P6322"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)22" :> $SpaceGroups["P6322"], 
 "P6322" :> $SpaceGroups["P6322"], "P6c2c" :> $SpaceGroups["P6322"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)cm" :> $SpaceGroups["P63cm"], 
 "P 63 c m" :> $SpaceGroups["P63cm"], "P 6c -2" :> $SpaceGroups["P63cm"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)cm" :> $SpaceGroups["P63cm"], 
 "P63cm" :> $SpaceGroups["P63cm"], "P6c-2" :> $SpaceGroups["P63cm"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)/m" :> $SpaceGroups["P63/m"], 
 "P 63/m" :> $SpaceGroups["P63/m"], "-P 6c" :> $SpaceGroups["P63/m"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)/m" :> $SpaceGroups["P63/m"], 
 "P63/m" :> $SpaceGroups["P63/m"], "-P6c" :> $SpaceGroups["P63/m"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)mc" :> $SpaceGroups["P63mc"], 
 "P 63 m c" :> $SpaceGroups["P63mc"], "P 6c -2c" :> $SpaceGroups["P63mc"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)mc" :> $SpaceGroups["P63mc"], 
 "P63mc" :> $SpaceGroups["P63mc"], "P6c-2c" :> $SpaceGroups["P63mc"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)/mcm" :> $SpaceGroups["P63/mcm"], 
 "P 63/m c m" :> $SpaceGroups["P63/mcm"], "P 63/m 2/c 2/m" :> 
  $SpaceGroups["P63/mcm"], "-P 6c 2" :> $SpaceGroups["P63/mcm"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)/mcm" :> $SpaceGroups["P63/mcm"], 
 "P63/mcm" :> $SpaceGroups["P63/mcm"], "P63/m2/c2/m" :> 
  $SpaceGroups["P63/mcm"], "-P6c2" :> $SpaceGroups["P63/mcm"], 
 "\!\(\*SubscriptBox[\(P6\), \(3\)]\)/mmc" :> $SpaceGroups["P63/mmc"], 
 "P 63/m m c" :> $SpaceGroups["P63/mmc"], "P 63/m 2/m 2/c" :> 
  $SpaceGroups["P63/mmc"], "-P 6c 2c" :> $SpaceGroups["P63/mmc"], 
 "\!\(\*SubscriptBox[\(P6\),\(3\)]\)/mmc" :> $SpaceGroups["P63/mmc"], 
 "P63/mmc" :> $SpaceGroups["P63/mmc"], "P63/m2/m2/c" :> 
  $SpaceGroups["P63/mmc"], "-P6c2c" :> $SpaceGroups["P63/mmc"], 
 "\!\(\*SubscriptBox[\(P6\), \(4\)]\)" :> $SpaceGroups["P64"], 
 "P 64" :> $SpaceGroups["P64"], "\!\(\*SubscriptBox[\(P6\),\(4\)]\)" :> 
  $SpaceGroups["P64"], "P64" :> $SpaceGroups["P64"], 
 "\!\(\*SubscriptBox[\(P6\), \(4\)]\)22" :> $SpaceGroups["P6422"], 
 "P 64 2 2" :> $SpaceGroups["P6422"], "P 64 2c (0 0 -1)" :> 
  $SpaceGroups["P6422"], "\!\(\*SubscriptBox[\(P6\),\(4\)]\)22" :> 
  $SpaceGroups["P6422"], "P6422" :> $SpaceGroups["P6422"], 
 "P642c(00-1)" :> $SpaceGroups["P6422"], 
 "\!\(\*SubscriptBox[\(P6\), \(5\)]\)" :> $SpaceGroups["P65"], 
 "P 65" :> $SpaceGroups["P65"], "\!\(\*SubscriptBox[\(P6\),\(5\)]\)" :> 
  $SpaceGroups["P65"], "P65" :> $SpaceGroups["P65"], 
 "\!\(\*SubscriptBox[\(P6\), \(5\)]\)22" :> $SpaceGroups["P6522"], 
 "P 65 2 2" :> $SpaceGroups["P6522"], "P 65 2 (0 0 1)" :> 
  $SpaceGroups["P6522"], "\!\(\*SubscriptBox[\(P6\),\(5\)]\)22" :> 
  $SpaceGroups["P6522"], "P6522" :> $SpaceGroups["P6522"], 
 "P652(001)" :> $SpaceGroups["P6522"], 
 "P\!\(\*OverscriptBox[\(6\), \(_\)]\)c2" :> $SpaceGroups["P-6c2"], 
 "P -6 c 2" :> $SpaceGroups["P-6c2"], "P -6c 2" :> $SpaceGroups["P-6c2"], 
 "P\!\(\*OverscriptBox[\(6\),\(_\)]\)c2" :> $SpaceGroups["P-6c2"], 
 "P-6c2" :> $SpaceGroups["P-6c2"], "P 6 c c" :> $SpaceGroups["P6cc"], 
 "P 6 -2c" :> $SpaceGroups["P6cc"], "P6cc" :> $SpaceGroups["P6cc"], 
 "P6-2c" :> $SpaceGroups["P6cc"], "P 6/m" :> $SpaceGroups["P6/m"], 
 "-P 6" :> $SpaceGroups["P6/m"], "P6/m" :> $SpaceGroups["P6/m"], 
 "-P6" :> $SpaceGroups["P6/m"], "P\!\(\*OverscriptBox[\(6\), \(_\)]\)m2" :> 
  $SpaceGroups["P-6m2"], "P -6 m 2" :> $SpaceGroups["P-6m2"], 
 "P -6 2" :> $SpaceGroups["P-6m2"], 
 "P\!\(\*OverscriptBox[\(6\),\(_\)]\)m2" :> $SpaceGroups["P-6m2"], 
 "P-6m2" :> $SpaceGroups["P-6m2"], "P-62" :> $SpaceGroups["P-6m2"], 
 "P 6/m c c" :> $SpaceGroups["P6/mcc"], "P 6/m 2/c 2/c" :> 
  $SpaceGroups["P6/mcc"], "-P 6 2c" :> $SpaceGroups["P6/mcc"], 
 "P6/mcc" :> $SpaceGroups["P6/mcc"], "P6/m2/c2/c" :> $SpaceGroups["P6/mcc"], 
 "-P62c" :> $SpaceGroups["P6/mcc"], "P 6 m m" :> $SpaceGroups["P6mm"], 
 "P 6 -2" :> $SpaceGroups["P6mm"], "P6mm" :> $SpaceGroups["P6mm"], 
 "P6-2" :> $SpaceGroups["P6mm"], "P 6/m m m" :> $SpaceGroups["P6/mmm"], 
 "P 6/m 2/m 2/m" :> $SpaceGroups["P6/mmm"], 
 "-P 6 2" :> $SpaceGroups["P6/mmm"], "P6/mmm" :> $SpaceGroups["P6/mmm"], 
 "P6/m2/m2/m" :> $SpaceGroups["P6/mmm"], "-P62" :> $SpaceGroups["P6/mmm"], 
 "Pa\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> $SpaceGroups["Pa-3"], 
 "P a -3" :> $SpaceGroups["Pa-3"], "P 21/a -3" :> $SpaceGroups["Pa-3"], 
 "-P 2ac 2ab 3" :> $SpaceGroups["Pa-3"], 
 "Pa\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Pa-3"], 
 "Pa-3" :> $SpaceGroups["Pa-3"], "P21/a-3" :> $SpaceGroups["Pa-3"], 
 "-P2ac2ab3" :> $SpaceGroups["Pa-3"], "P b a 2" :> $SpaceGroups["Pba2"], 
 "P 2 -2ab" :> $SpaceGroups["Pba2"], "Pba2" :> $SpaceGroups["Pba2"], 
 "P2-2ab" :> $SpaceGroups["Pba2"], "P b a m" :> $SpaceGroups["Pbam"], 
 "P 21/b 21/a 2/m" :> $SpaceGroups["Pbam"], 
 "-P 2 2ab" :> $SpaceGroups["Pbam"], "Pbam" :> $SpaceGroups["Pbam"], 
 "P21/b21/a2/m" :> $SpaceGroups["Pbam"], "-P22ab" :> $SpaceGroups["Pbam"], 
 "P b a n:1" :> $SpaceGroups["Pban"], "P 2/b 2/a 2/n:1" :> 
  $SpaceGroups["Pban"], "P 2 2 -1ab" :> $SpaceGroups["Pban"], 
 "P 2/b 2/a 2/n" :> $SpaceGroups["Pban"], "P b a n" :> $SpaceGroups["Pban"], 
 "Pban:1" :> $SpaceGroups["Pban"], "P2/b2/a2/n:1" :> $SpaceGroups["Pban"], 
 "P22-1ab" :> $SpaceGroups["Pban"], "P2/b2/a2/n" :> $SpaceGroups["Pban"], 
 "Pban" :> $SpaceGroups["Pban"], "P b c a" :> $SpaceGroups["Pbca"], 
 "P 21/b 21/c 21/a" :> $SpaceGroups["Pbca"], 
 "-P 2ac 2ab" :> $SpaceGroups["Pbca"], "Pbca" :> $SpaceGroups["Pbca"], 
 "P21/b21/c21/a" :> $SpaceGroups["Pbca"], "-P2ac2ab" :> $SpaceGroups["Pbca"], 
 "P b c m" :> $SpaceGroups["Pbcm"], "P 2/b 21/c 21/m" :> 
  $SpaceGroups["Pbcm"], "-P 2c 2b" :> $SpaceGroups["Pbcm"], 
 "Pbcm" :> $SpaceGroups["Pbcm"], "P2/b21/c21/m" :> $SpaceGroups["Pbcm"], 
 "-P2c2b" :> $SpaceGroups["Pbcm"], "P b c n" :> $SpaceGroups["Pbcn"], 
 "P 21/b 2/c 21/n" :> $SpaceGroups["Pbcn"], 
 "-P 2n 2ab" :> $SpaceGroups["Pbcn"], "Pbcn" :> $SpaceGroups["Pbcn"], 
 "P21/b2/c21/n" :> $SpaceGroups["Pbcn"], "-P2n2ab" :> $SpaceGroups["Pbcn"], 
 "P 1 c 1" :> $SpaceGroups["Pc"], "P -2yc" :> $SpaceGroups["Pc"], 
 "P c" :> $SpaceGroups["Pc"], "P1c1" :> $SpaceGroups["Pc"], 
 "P-2yc" :> $SpaceGroups["Pc"], "Pc" :> $SpaceGroups["Pc"], 
 "P 2c -2ac" :> $SpaceGroups["Pca21"], "P c a 21" :> $SpaceGroups["Pca21"], 
 "\!\(\*SubscriptBox[\(Pca2\), \(1\)]\)" :> $SpaceGroups["Pca21"], 
 "P2c-2ac" :> $SpaceGroups["Pca21"], "Pca21" :> $SpaceGroups["Pca21"], 
 "\!\(\*SubscriptBox[\(Pca2\),\(1\)]\)" :> $SpaceGroups["Pca21"], 
 "P c c 2" :> $SpaceGroups["Pcc2"], "P 2 -2c" :> $SpaceGroups["Pcc2"], 
 "Pcc2" :> $SpaceGroups["Pcc2"], "P2-2c" :> $SpaceGroups["Pcc2"], 
 "P c c a" :> $SpaceGroups["Pcca"], "P 21/c 2/c 2/a" :> $SpaceGroups["Pcca"], 
 "-P 2a 2ac" :> $SpaceGroups["Pcca"], "Pcca" :> $SpaceGroups["Pcca"], 
 "P21/c2/c2/a" :> $SpaceGroups["Pcca"], "-P2a2ac" :> $SpaceGroups["Pcca"], 
 "P c c m" :> $SpaceGroups["Pccm"], "P 2/c 2/c 2/m" :> $SpaceGroups["Pccm"], 
 "-P 2 2c" :> $SpaceGroups["Pccm"], "Pccm" :> $SpaceGroups["Pccm"], 
 "P2/c2/c2/m" :> $SpaceGroups["Pccm"], "-P22c" :> $SpaceGroups["Pccm"], 
 "P c c n" :> $SpaceGroups["Pccn"], "P 21/c 21/c 2/n" :> 
  $SpaceGroups["Pccn"], "-P 2ab 2ac" :> $SpaceGroups["Pccn"], 
 "Pccn" :> $SpaceGroups["Pccn"], "P21/c21/c2/n" :> $SpaceGroups["Pccn"], 
 "-P2ab2ac" :> $SpaceGroups["Pccn"], "P 1 m 1" :> $SpaceGroups["Pm"], 
 "P -2y" :> $SpaceGroups["Pm"], "P m" :> $SpaceGroups["Pm"], 
 "P1m1" :> $SpaceGroups["Pm"], "P-2y" :> $SpaceGroups["Pm"], 
 "Pm" :> $SpaceGroups["Pm"], "Pm\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $SpaceGroups["Pm-3"], "P m -3" :> $SpaceGroups["Pm-3"], 
 "P 2/m -3" :> $SpaceGroups["Pm-3"], "-P 2 2 3" :> $SpaceGroups["Pm-3"], 
 "Pm\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Pm-3"], 
 "Pm-3" :> $SpaceGroups["Pm-3"], "P2/m-3" :> $SpaceGroups["Pm-3"], 
 "-P223" :> $SpaceGroups["Pm-3"], "Pm\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> 
  $SpaceGroups["Pm-3m"], "P m -3 m" :> $SpaceGroups["Pm-3m"], 
 "P 4/m -3 2/m" :> $SpaceGroups["Pm-3m"], 
 "-P 4 2 3" :> $SpaceGroups["Pm-3m"], 
 "Pm\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> $SpaceGroups["Pm-3m"], 
 "Pm-3m" :> $SpaceGroups["Pm-3m"], "P4/m-32/m" :> $SpaceGroups["Pm-3m"], 
 "-P423" :> $SpaceGroups["Pm-3m"], 
 "Pm\!\(\*OverscriptBox[\(3\), \(_\)]\)n" :> $SpaceGroups["Pm-3n"], 
 "P m -3 n" :> $SpaceGroups["Pm-3n"], "P 42/m -3 2/n" :> 
  $SpaceGroups["Pm-3n"], "-P 4n 2 3" :> $SpaceGroups["Pm-3n"], 
 "Pm\!\(\*OverscriptBox[\(3\),\(_\)]\)n" :> $SpaceGroups["Pm-3n"], 
 "Pm-3n" :> $SpaceGroups["Pm-3n"], "P42/m-32/n" :> $SpaceGroups["Pm-3n"], 
 "-P4n23" :> $SpaceGroups["Pm-3n"], "P m a 2" :> $SpaceGroups["Pma2"], 
 "P 2 -2a" :> $SpaceGroups["Pma2"], "Pma2" :> $SpaceGroups["Pma2"], 
 "P2-2a" :> $SpaceGroups["Pma2"], "\!\(\*SubscriptBox[\(Pmc2\), \(1\)]\)" :> 
  $SpaceGroups["Pmc21"], "P m c 21" :> $SpaceGroups["Pmc21"], 
 "P 2c -2" :> $SpaceGroups["Pmc21"], 
 "\!\(\*SubscriptBox[\(Pmc2\),\(1\)]\)" :> $SpaceGroups["Pmc21"], 
 "Pmc21" :> $SpaceGroups["Pmc21"], "P2c-2" :> $SpaceGroups["Pmc21"], 
 "P m m 2" :> $SpaceGroups["Pmm2"], "P 2 -2" :> $SpaceGroups["Pmm2"], 
 "Pmm2" :> $SpaceGroups["Pmm2"], "P2-2" :> $SpaceGroups["Pmm2"], 
 "P m m a" :> $SpaceGroups["Pmma"], "P 21/m 2/m 2/a" :> $SpaceGroups["Pmma"], 
 "-P 2a 2a" :> $SpaceGroups["Pmma"], "Pmma" :> $SpaceGroups["Pmma"], 
 "P21/m2/m2/a" :> $SpaceGroups["Pmma"], "-P2a2a" :> $SpaceGroups["Pmma"], 
 "P m m m" :> $SpaceGroups["Pmmm"], "P 2/m 2/m 2/m" :> $SpaceGroups["Pmmm"], 
 "-P 2 2" :> $SpaceGroups["Pmmm"], "Pmmm" :> $SpaceGroups["Pmmm"], 
 "P2/m2/m2/m" :> $SpaceGroups["Pmmm"], "-P22" :> $SpaceGroups["Pmmm"], 
 "P m m n:1" :> $SpaceGroups["Pmmn"], "P 21/m 21/m 2/n:1" :> 
  $SpaceGroups["Pmmn"], "P 2 2ab -1ab" :> $SpaceGroups["Pmmn"], 
 "P 21/m 21/m 2/n" :> $SpaceGroups["Pmmn"], 
 "P m m n" :> $SpaceGroups["Pmmn"], "Pmmn:1" :> $SpaceGroups["Pmmn"], 
 "P21/m21/m2/n:1" :> $SpaceGroups["Pmmn"], 
 "P22ab-1ab" :> $SpaceGroups["Pmmn"], "P21/m21/m2/n" :> $SpaceGroups["Pmmn"], 
 "Pmmn" :> $SpaceGroups["Pmmn"], "\!\(\*SubscriptBox[\(Pmn2\), \(1\)]\)" :> 
  $SpaceGroups["Pmn21"], "P m n 21" :> $SpaceGroups["Pmn21"], 
 "P 2ac -2" :> $SpaceGroups["Pmn21"], 
 "\!\(\*SubscriptBox[\(Pmn2\),\(1\)]\)" :> $SpaceGroups["Pmn21"], 
 "Pmn21" :> $SpaceGroups["Pmn21"], "P2ac-2" :> $SpaceGroups["Pmn21"], 
 "P m n a" :> $SpaceGroups["Pmna"], "P 2/m 2/n 21/a" :> $SpaceGroups["Pmna"], 
 "-P 2ac 2" :> $SpaceGroups["Pmna"], "Pmna" :> $SpaceGroups["Pmna"], 
 "P2/m2/n21/a" :> $SpaceGroups["Pmna"], "-P2ac2" :> $SpaceGroups["Pmna"], 
 "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\):1" :> $SpaceGroups["Pn-3"], 
 "P n -3:1" :> $SpaceGroups["Pn-3"], "P 2/n -3:1" :> $SpaceGroups["Pn-3"], 
 "P 2 2 3 -1n" :> $SpaceGroups["Pn-3"], "P 2/n -3" :> $SpaceGroups["Pn-3"], 
 "P n -3" :> $SpaceGroups["Pn-3"], "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $SpaceGroups["Pn-3"], "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\):1" :> 
  $SpaceGroups["Pn-3"], "Pn-3:1" :> $SpaceGroups["Pn-3"], 
 "P2/n-3:1" :> $SpaceGroups["Pn-3"], "P223-1n" :> $SpaceGroups["Pn-3"], 
 "P2/n-3" :> $SpaceGroups["Pn-3"], "Pn-3" :> $SpaceGroups["Pn-3"], 
 "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["Pn-3"], 
 "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)m:1" :> $SpaceGroups["Pn-3m"], 
 "P n -3 m:1" :> $SpaceGroups["Pn-3m"], "P 42/n -3 2/m:1" :> 
  $SpaceGroups["Pn-3m"], "P 4n 2 3 -1n" :> $SpaceGroups["Pn-3m"], 
 "P 42/n -3 2/m" :> $SpaceGroups["Pn-3m"], 
 "P n -3 m" :> $SpaceGroups["Pn-3m"], 
 "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> $SpaceGroups["Pn-3m"], 
 "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)m:1" :> $SpaceGroups["Pn-3m"], 
 "Pn-3m:1" :> $SpaceGroups["Pn-3m"], "P42/n-32/m:1" :> $SpaceGroups["Pn-3m"], 
 "P4n23-1n" :> $SpaceGroups["Pn-3m"], "P42/n-32/m" :> $SpaceGroups["Pn-3m"], 
 "Pn-3m" :> $SpaceGroups["Pn-3m"], "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> 
  $SpaceGroups["Pn-3m"], "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)n:1" :> 
  $SpaceGroups["Pn-3n"], "P n -3 n:1" :> $SpaceGroups["Pn-3n"], 
 "P 4/n -3 2/n:1" :> $SpaceGroups["Pn-3n"], 
 "P 4 2 3 -1n" :> $SpaceGroups["Pn-3n"], "P 4/n -3 2/n" :> 
  $SpaceGroups["Pn-3n"], "P n -3 n" :> $SpaceGroups["Pn-3n"], 
 "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)n" :> $SpaceGroups["Pn-3n"], 
 "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)n:1" :> $SpaceGroups["Pn-3n"], 
 "Pn-3n:1" :> $SpaceGroups["Pn-3n"], "P4/n-32/n:1" :> $SpaceGroups["Pn-3n"], 
 "P423-1n" :> $SpaceGroups["Pn-3n"], "P4/n-32/n" :> $SpaceGroups["Pn-3n"], 
 "Pn-3n" :> $SpaceGroups["Pn-3n"], "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)n" :> 
  $SpaceGroups["Pn-3n"], "\!\(\*SubscriptBox[\(Pna2\), \(1\)]\)" :> 
  $SpaceGroups["Pna21"], "P n a 21" :> $SpaceGroups["Pna21"], 
 "P 2c -2n" :> $SpaceGroups["Pna21"], 
 "\!\(\*SubscriptBox[\(Pna2\),\(1\)]\)" :> $SpaceGroups["Pna21"], 
 "Pna21" :> $SpaceGroups["Pna21"], "P2c-2n" :> $SpaceGroups["Pna21"], 
 "P n c 2" :> $SpaceGroups["Pnc2"], "P 2 -2bc" :> $SpaceGroups["Pnc2"], 
 "Pnc2" :> $SpaceGroups["Pnc2"], "P2-2bc" :> $SpaceGroups["Pnc2"], 
 "P n m a" :> $SpaceGroups["Pnma"], "P 21/n 21/m 21/a" :> 
  $SpaceGroups["Pnma"], "-P 2ac 2n" :> $SpaceGroups["Pnma"], 
 "Pnma" :> $SpaceGroups["Pnma"], "P21/n21/m21/a" :> $SpaceGroups["Pnma"], 
 "-P2ac2n" :> $SpaceGroups["Pnma"], "P n n 2" :> $SpaceGroups["Pnn2"], 
 "P 2 -2n" :> $SpaceGroups["Pnn2"], "Pnn2" :> $SpaceGroups["Pnn2"], 
 "P2-2n" :> $SpaceGroups["Pnn2"], "P n n a" :> $SpaceGroups["Pnna"], 
 "P 2/n 21/n 2/a" :> $SpaceGroups["Pnna"], 
 "-P 2a 2bc" :> $SpaceGroups["Pnna"], "Pnna" :> $SpaceGroups["Pnna"], 
 "P2/n21/n2/a" :> $SpaceGroups["Pnna"], "-P2a2bc" :> $SpaceGroups["Pnna"], 
 "P n n m" :> $SpaceGroups["Pnnm"], "P 21/n 21/n 2/m" :> 
  $SpaceGroups["Pnnm"], "-P 2 2n" :> $SpaceGroups["Pnnm"], 
 "Pnnm" :> $SpaceGroups["Pnnm"], "P21/n21/n2/m" :> $SpaceGroups["Pnnm"], 
 "-P22n" :> $SpaceGroups["Pnnm"], "P n n n" :> $SpaceGroups["Pnnn"], 
 "P n n n:1" :> $SpaceGroups["Pnnn"], "P 2/n 2/n 2/n" :> 
  $SpaceGroups["Pnnn"], "P 2/n 2/n 2/n:1" :> $SpaceGroups["Pnnn"], 
 "P 2 2 -1n" :> $SpaceGroups["Pnnn"], "Pnnn" :> $SpaceGroups["Pnnn"], 
 "Pnnn:1" :> $SpaceGroups["Pnnn"], "P2/n2/n2/n" :> $SpaceGroups["Pnnn"], 
 "P2/n2/n2/n:1" :> $SpaceGroups["Pnnn"], "P22-1n" :> $SpaceGroups["Pnnn"], 
 "R\!\(\*OverscriptBox[\(3\), \(_\)]\):h" :> $SpaceGroups["R-3"], 
 "R -3:h" :> $SpaceGroups["R-3"], "-R 3" :> $SpaceGroups["R-3"], 
 "R -3" :> $SpaceGroups["R-3"], "R\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> 
  $SpaceGroups["R-3"], "R\!\(\*OverscriptBox[\(3\),\(_\)]\):h" :> 
  $SpaceGroups["R-3"], "R-3:h" :> $SpaceGroups["R-3"], 
 "-R3" :> $SpaceGroups["R-3"], "R-3" :> $SpaceGroups["R-3"], 
 "R\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["R-3"], 
 "R 3" :> $SpaceGroups["R3"], "R 3:h" :> $SpaceGroups["R3"], 
 "R3" :> $SpaceGroups["R3"], "R3:h" :> $SpaceGroups["R3"], 
 "R 3 2:h" :> $SpaceGroups["R32"], "R 3 2\"" :> $SpaceGroups["R32"], 
 "R 3 2" :> $SpaceGroups["R32"], "R32:h" :> $SpaceGroups["R32"], 
 "R32\"" :> $SpaceGroups["R32"], "R32" :> $SpaceGroups["R32"], 
 "R\!\(\*OverscriptBox[\(3\), \(_\)]\)c:h" :> $SpaceGroups["R-3c"], 
 "R -3 c:h" :> $SpaceGroups["R-3c"], "R -3 2/c:h" :> $SpaceGroups["R-3c"], 
 "-R 3 2\"c" :> $SpaceGroups["R-3c"], "R -3 2/c" :> $SpaceGroups["R-3c"], 
 "R -3 c" :> $SpaceGroups["R-3c"], "R\!\(\*OverscriptBox[\(3\), \(_\)]\)c" :> 
  $SpaceGroups["R-3c"], "R\!\(\*OverscriptBox[\(3\),\(_\)]\)c:h" :> 
  $SpaceGroups["R-3c"], "R-3c:h" :> $SpaceGroups["R-3c"], 
 "R-32/c:h" :> $SpaceGroups["R-3c"], "-R32\"c" :> $SpaceGroups["R-3c"], 
 "R-32/c" :> $SpaceGroups["R-3c"], "R-3c" :> $SpaceGroups["R-3c"], 
 "R\!\(\*OverscriptBox[\(3\),\(_\)]\)c" :> $SpaceGroups["R-3c"], 
 "R 3 c:h" :> $SpaceGroups["R3c"], "R 3 -2\"c" :> $SpaceGroups["R3c"], 
 "R 3 c" :> $SpaceGroups["R3c"], "R3c:h" :> $SpaceGroups["R3c"], 
 "R3-2\"c" :> $SpaceGroups["R3c"], "R3c" :> $SpaceGroups["R3c"], 
 "R\!\(\*OverscriptBox[\(3\), \(_\)]\)m:h" :> $SpaceGroups["R-3m"], 
 "R -3 m:h" :> $SpaceGroups["R-3m"], "R -3 2/m:h" :> $SpaceGroups["R-3m"], 
 "-R 3 2\"" :> $SpaceGroups["R-3m"], "R -3 2/m" :> $SpaceGroups["R-3m"], 
 "R -3 m" :> $SpaceGroups["R-3m"], "R\!\(\*OverscriptBox[\(3\), \(_\)]\)m" :> 
  $SpaceGroups["R-3m"], "R\!\(\*OverscriptBox[\(3\),\(_\)]\)m:h" :> 
  $SpaceGroups["R-3m"], "R-3m:h" :> $SpaceGroups["R-3m"], 
 "R-32/m:h" :> $SpaceGroups["R-3m"], "-R32\"" :> $SpaceGroups["R-3m"], 
 "R-32/m" :> $SpaceGroups["R-3m"], "R-3m" :> $SpaceGroups["R-3m"], 
 "R\!\(\*OverscriptBox[\(3\),\(_\)]\)m" :> $SpaceGroups["R-3m"], 
 "R 3 m:h" :> $SpaceGroups["R3m"], "R 3 -2\"" :> $SpaceGroups["R3m"], 
 "R 3 m" :> $SpaceGroups["R3m"], "R3m:h" :> $SpaceGroups["R3m"], 
 "R3-2\"" :> $SpaceGroups["R3m"], "R3m" :> $SpaceGroups["R3m"], 
 "A -2ab -2ab" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A -2ac -2ac" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "A c 2 a" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A e 2 a" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "A-2ab-2ab" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A-2ac-2ac" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Ac2a" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Ae2a" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B 2 -2ab" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B 2 -2bc" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B b a 2" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B b e 2" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B2-2ab" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B2-2bc" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Bba2" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Bbe2" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C -2ac -2ac" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C -2bc -2bc" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "C c 2 a" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C c 2 e" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "C-2ac-2ac" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C-2bc-2bc" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Cc2a" :> $SpaceGroups["Aea2", "AlternativeSettings", "AxisPermutationBCA"], 
 "Cc2e" :> $SpaceGroups["Aea2", "AlternativeSettings", "AxisPermutationBCA"], 
 "B -2ab 2" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B -2bc 2" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B 2 c b" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B 2 e b" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B-2ab2" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B-2bc2" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B2cb" :> $SpaceGroups["Aea2", "AlternativeSettings", "AxisPermutationCAB"], 
 "B2eb" :> $SpaceGroups["Aea2", "AlternativeSettings", "AxisPermutationCAB"], 
 "C -2ab 2" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C -2bc 2" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C 2 c b" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C 2 c e" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C-2ab2" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C-2bc2" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C2cb" :> $SpaceGroups["Aea2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C2ce" :> $SpaceGroups["Aea2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A -2b -2b" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A -2c -2c" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "A c 2 m" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A e 2 m" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "A-2b-2b" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A-2c-2c" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Ac2m" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Ae2m" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B 2 -2a" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B 2 -2c" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B m a 2" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B m e 2" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B2-2a" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B2-2c" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Bma2" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Bme2" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C -2a -2a" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C -2b -2b" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "C m 2 a" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C m 2 e" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "C-2a-2a" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C-2b-2b" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Cm2a" :> $SpaceGroups["Aem2", "AlternativeSettings", "AxisPermutationBCA"], 
 "Cm2e" :> $SpaceGroups["Aem2", "AlternativeSettings", "AxisPermutationBCA"], 
 "B -2a 2" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B -2c 2" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B 2 c m" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B 2 e m" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B-2a2" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B-2c2" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B2cm" :> $SpaceGroups["Aem2", "AlternativeSettings", "AxisPermutationCAB"], 
 "B2em" :> $SpaceGroups["Aem2", "AlternativeSettings", "AxisPermutationCAB"], 
 "C -2a 2" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C -2b 2" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C 2 m b" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C 2 m e" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C-2a2" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C-2b2" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C2mb" :> $SpaceGroups["Aem2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C2me" :> $SpaceGroups["Aem2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A -2a -2a" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A m 2 a" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "A-2a-2a" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Am2a" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B 2 -2b" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B b m 2" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B2-2b" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Bbm2" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C -2c -2c" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C c 2 m" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "C-2c-2c" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Cc2m" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B -2b 2" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B 2 m b" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B-2b2" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B2mb" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "C -2c 2" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C 2 c m" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C-2c2" :> $SpaceGroups["Ama2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C2cm" :> $SpaceGroups["Ama2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A -2 -2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A m 2 m" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "A-2-2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Am2m" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B 2 -2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "B m m 2" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B2-2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Bmm2" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C -2 -2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "C m 2 m" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "C-2-2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Cm2m" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B -2 2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutationCAB"], "B 2 m m" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B-22" :> $SpaceGroups["Amm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "B2mm" :> $SpaceGroups["Amm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "C -2 2" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C 2 m m" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "C-22" :> $SpaceGroups["Amm2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "C2mm" :> $SpaceGroups["Amm2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "F 2 1 1" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], 
 "F211" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], 
 "B 2 1 1" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], 
 "B 2x" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], 
 "B211" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], 
 "B2x" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "C 2 1 1" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "C 2x" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], 
 "C211" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], 
 "C2x" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "I 2 1 1" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "I 2x" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "I211" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "I2x" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "F 1 2 1" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisB_CellCentringF"], 
 "F 2" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F121" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F2" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "A 1 2 1" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "A 2y" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "A121" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "A2y" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "I 1 2 1" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "I 2" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I 2y" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I121" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I2" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I2y" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "F 1 1 2" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisC_CellCentringF"], 
 "F112" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisC_CellCentringF"], 
 "A 1 1 2" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "A112" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "B 1 1 2" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "B112" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "I 1 1 2" :> $SpaceGroups["C2", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "I112" :> $SpaceGroups["C2", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "B 2 2" :> $SpaceGroups["C222", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B 2 2 2" :> $SpaceGroups["C222", "AlternativeSettings", 
   "AxisPermutationBCA"], "B22" :> $SpaceGroups["C222", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B222" :> $SpaceGroups["C222", "AlternativeSettings", "AxisPermutationBCA"], 
 "A 2 2" :> $SpaceGroups["C222", "AlternativeSettings", 
   "AxisPermutationCAB"], "A 2 2 2" :> $SpaceGroups["C222", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A22" :> $SpaceGroups["C222", "AlternativeSettings", "AxisPermutationCAB"], 
 "A222" :> $SpaceGroups["C222", "AlternativeSettings", "AxisPermutationCAB"], 
 "B 2 21 2" :> $SpaceGroups["C2221", "AlternativeSettings", 
   "AxisPermutationBCA"], "B 2 2b" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(B22\), \(1\)]\)2" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B2212" :> $SpaceGroups["C2221", "AlternativeSettings", 
   "AxisPermutationBCA"], "B22b" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(B22\),\(1\)]\)2" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "A 21 2 2" :> $SpaceGroups["C2221", "AlternativeSettings", 
   "AxisPermutationCAB"], "A 2a 2a" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(A2\), \(1\)]\)22" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A2122" :> $SpaceGroups["C2221", "AlternativeSettings", 
   "AxisPermutationCAB"], "A2a2a" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)22" :> $SpaceGroups["C2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "F 2/d 1 1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], 
 "F2/d11" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], "C 2/c 1 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-A_CellChoice1"], 
 "-C 2xc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice1"], "C2/c11" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-A_CellChoice1"], 
 "-C2xc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice1"], "B 2/b 1 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "-B 2xb" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "B2/b11" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "-B2xb" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "B 2/n 1 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-A_CellChoice2"], 
 "-B 2xbc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice2"], "B2/n11" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-A_CellChoice2"], 
 "-B2xbc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice2"], "C 2/n 1 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "-C 2xbc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "C2/n11" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "-C2xbc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "I 2/b 1 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-A_CellChoice3"], 
 "-I 2xb" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice3"], "I2/b11" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-A_CellChoice3"], 
 "-I2xb" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice3"], "I 2/c 1 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "-I 2xc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "I2/c11" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "-I2xc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "F 1 2/d 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisB_CellCentringF"], 
 "F 2/d" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F12/d1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F2/d" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], "A 1 2/a 1" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-B_CellChoice1"], 
 "A 2/a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], "-A 2ya" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice1"], 
 "A12/a1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], 
 "A2/a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], "-A2ya" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice1"], 
 "C 1 2/n 1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], "C 2/n" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice2"], 
 "-C 2ybc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], "C12/n1" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice2"], 
 "C2/n" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], "-C2ybc" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice2"], 
 "A 1 2/n 1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "A 2/n" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "-A 2yac" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "A12/n1" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "A2/n" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "-A2yac" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "I 1 2/c 1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], "I 2/c" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice3"], 
 "-I 2yc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], "I12/c1" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice3"], 
 "I2/c" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], "-I2yc" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice3"], 
 "I 1 2/a 1" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "I 2/a" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "-I 2ya" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "I12/a1" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "I2/a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "-I2ya" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "F 1 1 2/d" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellCentringF"], 
 "F112/d" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellCentringF"], "B 1 1 2/b" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-C_CellChoice1"], 
 "-B 2b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], "B 2/b" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-C_CellChoice1"], 
 "B112/b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "-B2b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "B2/b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], "A 1 1 2/a" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "-A 2a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "A112/a" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "-A2a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "A 1 1 2/n" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-C_CellChoice2"], 
 "-A 2ac" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice2"], "A112/n" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-C_CellChoice2"], 
 "-A2ac" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice2"], "B 1 1 2/n" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "-B 2bc" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "B 2/n" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "B112/n" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "-B2bc" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "B2/n" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "I 1 1 2/a" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxis-C_CellChoice3"], 
 "-I 2a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice3"], "I112/a" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxis-C_CellChoice3"], 
 "-I2a" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice3"], "I 1 1 2/b" :> 
  $SpaceGroups["C2/c", "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "-I 2b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "I 2/b" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "I112/b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "-I2b" :> $SpaceGroups["C2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "I2/b" :> $SpaceGroups["C2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "F 2/m 1 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisA_CellCentringF"], 
 "F2/m11" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], "B 2/m 1 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "-B 2x" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "B2/m11" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "-B2x" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "C 2/m 1 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "-C 2x" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "C2/m11" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "-C2x" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "I 2/m 1 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "-I 2x" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "I2/m11" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "-I2x" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "F 1 2/m 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisB_CellCentringF"], 
 "F 2/m" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F12/m1" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F2/m" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], "A 1 2/m 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "-A 2y" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "A12/m1" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "-A2y" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "I 1 2/m 1" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "I 2/m" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "-I 2y" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "I12/m1" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "I2/m" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "-I2y" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "F 1 1 2/m" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisC_CellCentringF"], 
 "F112/m" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellCentringF"], "A 1 1 2/m" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "-A 2" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "A112/m" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "-A2" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "B 1 1 2/m" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "-B 2" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "B112/m" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "-B2" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "I 1 1 2/m" :> 
  $SpaceGroups["C2/m", "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "-I 2" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "I112/m" :> $SpaceGroups["C2/m", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "-I2" :> $SpaceGroups["C2/m", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "F d 1 1" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisA_CellCentringF"], 
 "Fd11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], 
 "C -2xc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice1"], "C c 1 1" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxis-A_CellChoice1"], 
 "C-2xc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice1"], 
 "Cc11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice1"], 
 "B -2xb" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "B b 1 1" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "B-2xb" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], 
 "Bb11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "B -2xbc" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxis-A_CellChoice2"], 
 "B n 1 1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice2"], 
 "B-2xbc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice2"], 
 "Bn11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice2"], "C -2xbc" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "C n 1 1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "C-2xbc" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "Cn11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "I -2xb" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxis-A_CellChoice3"], 
 "I b 1 1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice3"], 
 "I-2xb" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice3"], 
 "Ib11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-A_CellChoice3"], 
 "I -2xc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "I c 1 1" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "I-2xc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "Ic11" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "F 1 d 1" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisB_CellCentringF"], 
 "F d" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F1d1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "Fd" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "A 1 a 1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], 
 "A -2ya" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], 
 "A a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], 
 "A1a1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], 
 "A-2ya" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], 
 "Aa" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice1"], "C 1 n 1" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxis-B_CellChoice2"], 
 "C -2ybc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], 
 "C n" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], 
 "C1n1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], 
 "C-2ybc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], 
 "Cn" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice2"], "A 1 n 1" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "A -2yac" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "A n" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "A1n1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "A-2yac" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "An" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "I 1 c 1" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxis-B_CellChoice3"], 
 "I -2yc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], 
 "I c" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], 
 "I1c1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], 
 "I-2yc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], 
 "Ic" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-B_CellChoice3"], "I 1 a 1" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "I -2ya" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I1a1" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "I-2ya" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "Ia" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "F 1 1 d" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisC_CellCentringF"], 
 "F11d" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellCentringF"], 
 "B 1 1 b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "B -2b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "B b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "B11b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "B-2b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], 
 "Bb" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice1"], "A 1 1 a" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "A -2a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "A11a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "A-2a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "A 1 1 n" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxis-C_CellChoice2"], 
 "A -2ac" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice2"], 
 "A11n" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice2"], 
 "A-2ac" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice2"], "B 1 1 n" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "B -2bc" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], 
 "B n" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], 
 "B11n" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "B-2bc" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "Bn" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "I 1 1 a" :> $SpaceGroups["Cc", 
   "AlternativeSettings", "UniqueAxis-C_CellChoice3"], 
 "I -2a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice3"], 
 "I11a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice3"], 
 "I-2a" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxis-C_CellChoice3"], "I 1 1 b" :> 
  $SpaceGroups["Cc", "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "I -2b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "I b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "I11b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "I-2b" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "Ib" :> $SpaceGroups["Cc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "B -2b -2b" :> 
  $SpaceGroups["Ccc2", "AlternativeSettings", "AxisPermutationBCA"], 
 "B b 2 b" :> $SpaceGroups["Ccc2", "AlternativeSettings", 
   "AxisPermutationBCA"], "B-2b-2b" :> $SpaceGroups["Ccc2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Bb2b" :> $SpaceGroups["Ccc2", "AlternativeSettings", "AxisPermutationBCA"], 
 "A -2a 2" :> $SpaceGroups["Ccc2", "AlternativeSettings", 
   "AxisPermutationCAB"], "A 2 a a" :> $SpaceGroups["Ccc2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A-2a2" :> $SpaceGroups["Ccc2", "AlternativeSettings", 
   "AxisPermutationCAB"], "A2aa" :> $SpaceGroups["Ccc2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "B b a b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationA-CB"], 
 "B b a b:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationA-CB"], 
 "Bbab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationA-CB"], 
 "Bbab:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationA-CB"], "C 2/c 2/c 2/e:1" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBA-C"], 
 "C c c b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBA-C"], 
 "C c c b:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBA-C"], "C2/c2/c2/e:1" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBA-C"], 
 "Cccb" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBA-C"], 
 "Cccb:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBA-C"], 
 "B 2 2 -1ab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B 2 2 -1bc" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "B 2/b 2/e 2/b" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "B 2/b 2/e 2/b:1" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B b c b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B b c b:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B b e b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B b e b:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B22-1ab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B22-1bc" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "B2/b2/e2/b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "B2/b2/e2/b:1" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Bbcb" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Bbcb:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Bbeb" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Bbeb:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "A 2 2 -1ab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A 2 2 -1ac" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "A 2/e 2/a 2/a" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "A 2/e 2/a 2/a:1" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A b a a" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A b a a:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A e a a" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A e a a:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A22-1ab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A22-1ac" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A2/e2/a2/a" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "A2/e2/a2/a:1" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Abaa" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Abaa:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Aeaa" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Aeaa:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "A c a a" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutation-CBA"], 
 "A c a a:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutation-CBA"], 
 "Acaa" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutation-CBA"], 
 "Acaa:1" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice1_AxisPermutation-CBA"], 
 "-C 2a 2ac" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "-C 2b 2bc" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "C 2/c 2/c 2/e" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2"], "C 2/c 2/c 2/e:2" :> $SpaceGroups["Ccce", 
   "AlternativeSettings", "OriginChoice2"], 
 "C c c a:2" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "C c c e:2" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "-C2a2ac" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "-C2b2bc" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "C2/c2/c2/e" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2"], "C2/c2/c2/e:2" :> $SpaceGroups["Ccce", 
   "AlternativeSettings", "OriginChoice2"], 
 "Ccca:2" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "Ccce:2" :> $SpaceGroups["Ccce", "AlternativeSettings", "OriginChoice2"], 
 "-B 2b 2ab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationA-CB"], 
 "-B 2b 2bc" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationA-CB"], 
 "B b a b:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationA-CB"], 
 "-B2b2ab" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationA-CB"], 
 "-B2b2bc" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationA-CB"], 
 "Bbab:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationA-CB"], 
 "-C 2a 2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBA-C"], 
 "-C 2b 2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBA-C"], 
 "C c c b:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBA-C"], 
 "-C2a2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBA-C"], 
 "-C2b2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBA-C"], 
 "Cccb:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBA-C"], 
 "-B 2ab 2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], "B 2/b 2/e 2/b:2" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-B 2bc 2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "B b c b:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "B b e b:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-B2ab2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], "B2/b2/e2/b:2" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-B2bc2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "Bbcb:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "Bbeb:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-A 2a 2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "-A 2a 2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "A 2/e 2/a 2/a:2" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "A b a a:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "A e a a:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "-A2a2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "-A2a2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "A2/e2/a2/a:2" :> 
  $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "Abaa:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "Aeaa:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "-A 2ab 2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutation-CBA"], 
 "-A 2ac 2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutation-CBA"], 
 "A c a a:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutation-CBA"], 
 "-A2ab2b" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutation-CBA"], 
 "-A2ac2c" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutation-CBA"], 
 "Acaa:2" :> $SpaceGroups["Ccce", "AlternativeSettings", 
   "OriginChoice2_AxisPermutation-CBA"], 
 "-B 2b 2b" :> $SpaceGroups["Cccm", "AlternativeSettings", 
   "AxisPermutationBCA"], "B 2/b 2/m 2/b" :> $SpaceGroups["Cccm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B b m b" :> $SpaceGroups["Cccm", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B2b2b" :> $SpaceGroups["Cccm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B2/b2/m2/b" :> $SpaceGroups["Cccm", "AlternativeSettings", 
   "AxisPermutationBCA"], "Bbmb" :> $SpaceGroups["Cccm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-A 2a 2" :> $SpaceGroups["Cccm", "AlternativeSettings", 
   "AxisPermutationCAB"], "A 2/m 2/a 2/a" :> $SpaceGroups["Cccm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A m a a" :> $SpaceGroups["Cccm", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A2a2" :> $SpaceGroups["Cccm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A2/m2/a2/a" :> $SpaceGroups["Cccm", "AlternativeSettings", 
   "AxisPermutationCAB"], "Amaa" :> $SpaceGroups["Cccm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "F m 1 1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], 
 "Fm11" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellCentringF"], 
 "B -2x" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "B m 1 1" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "B-2x" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], 
 "Bm11" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "C -2x" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "C m 1 1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], 
 "C-2x" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], 
 "Cm11" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "I -2x" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "I m 1 1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "I-2x" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "Im11" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "F 1 m 1" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisB_CellCentringF"], 
 "F m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "F1m1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "Fm" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellCentringF"], 
 "A 1 m 1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "A -2y" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "A1m1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "A-2y" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "I 1 m 1" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "I -2y" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I1m1" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "I-2y" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "Im" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "F 1 1 m" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisC_CellCentringF"], 
 "F11m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellCentringF"], 
 "A 1 1 m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "A -2" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "A11m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "A-2" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "B 1 1 m" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "B -2" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], 
 "B11m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], 
 "B-2" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "I 1 1 m" :> $SpaceGroups["Cm", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "I -2" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "I11m" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "I-2" :> $SpaceGroups["Cm", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "B -2b -2" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B m 21 b" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Bm\!\(\*SubscriptBox[\(2\), \(1\)]\)b" :> 
  $SpaceGroups["Cmc21", "AlternativeSettings", "AxisPermutationA-CB"], 
 "B-2b-2" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Bm21b" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Bm\!\(\*SubscriptBox[\(2\),\(1\)]\)b" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "C 2c -2c" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "C c m 21" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Ccm\!\(\*SubscriptBox[\(2\), \(1\)]\)" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C2c-2c" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Ccm21" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Ccm\!\(\*SubscriptBox[\(2\),\(1\)]\)" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "B -2 -2b" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationBCA"], "B b 21 m" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Bb2\), \(1\)]\)m" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B-2-2b" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationBCA"], "Bb21m" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Bb2\),\(1\)]\)m" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "A 21 m a" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationCAB"], "A -2a 2a" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(A2\), \(1\)]\)ma" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A21ma" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutationCAB"], "A-2a2a" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)ma" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A 21 a m" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "A -2 2a" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(A2\), \(1\)]\)am" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A21am" :> $SpaceGroups["Cmc21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "A-22a" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)am" :> $SpaceGroups["Cmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A 2/m 21/e 2/b" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-B 2ab 2" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-B 2bc 2" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationA-CB"], "B m a b" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B m e b" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationA-CB"], "A2/m21/e2/b" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-B2ab2" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-B2bc2" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Bmab" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Bmeb" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-C 2ac 2ac" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-C 2bc 2bc" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C 2/c 2/m 21/e" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBA-C"], "C c m b" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C c m e" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-C2ac2ac" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-C2bc2bc" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBA-C"], "C2/c2/m21/e" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Ccmb" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Ccme" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "A 2/b 21/e 2/m" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B 2 2ab" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-B 2 2bc" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBCA"], "B b c m" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B b e m" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBCA"], "A2/b21/e2/m" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-B22ab" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B22bc" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Bbcm" :> $SpaceGroups["Cmce", "AlternativeSettings", "AxisPermutationBCA"], 
 "Bbem" :> $SpaceGroups["Cmce", "AlternativeSettings", "AxisPermutationBCA"], 
 "A 21/e 2/m 2/a" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A 2ab 2ab" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-A 2ac 2ac" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationCAB"], "A b m a" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A e m a" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationCAB"], "A21/e2/m2/a" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-A2ab2ab" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A2ac2ac" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "Abma" :> $SpaceGroups["Cmce", "AlternativeSettings", "AxisPermutationCAB"], 
 "Aema" :> $SpaceGroups["Cmce", "AlternativeSettings", "AxisPermutationCAB"], 
 "A 21/e 2/a 2/m" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-A 2 2ab" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-A 2 2ac" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutation-CBA"], "A c a m" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A e a m" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutation-CBA"], "A21/e2/a2/m" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-A22ab" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-A22ac" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "Acam" :> $SpaceGroups["Cmce", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Aeam" :> $SpaceGroups["Cmce", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-B 2b 2" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationA-CB"], "B 2/m 21/m 2/b" :> 
  $SpaceGroups["Cmcm", "AlternativeSettings", "AxisPermutationA-CB"], 
 "B m m b" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-B2b2" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B2/m21/m2/b" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Bmmb" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-C 2c 2c" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationBA-C"], "C 2/c 2/m 21/m" :> 
  $SpaceGroups["Cmcm", "AlternativeSettings", "AxisPermutationBA-C"], 
 "C c m m" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-C2c2c" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C2/c2/m21/m" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Ccmm" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "A 2/b 21/m 2/m" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B 2 2b" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B b m m" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationBCA"], "A2/b21/m2/m" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-B22b" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationBCA"], "Bbmm" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "A 21/m 2/m 2/a" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A 2a 2a" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A m m a" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationCAB"], "A21/m2/m2/a" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-A2a2a" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutationCAB"], "Amma" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A 21/m 2/a 2/m" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-A 2 2a" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A m a m" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutation-CBA"], "A21/m2/a2/m" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-A22a" :> $SpaceGroups["Cmcm", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Amam" :> $SpaceGroups["Cmcm", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "B -2 -2" :> $SpaceGroups["Cmm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "B m 2 m" :> $SpaceGroups["Cmm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B-2-2" :> $SpaceGroups["Cmm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Bm2m" :> $SpaceGroups["Cmm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "A -2 2" :> $SpaceGroups["Cmm2", "AlternativeSettings", 
   "AxisPermutationCAB"], "A 2 m m" :> $SpaceGroups["Cmm2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A-22" :> $SpaceGroups["Cmm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "A2mm" :> $SpaceGroups["Cmm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "-B 2a 2" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-B 2c 2" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "B m a m" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-B2a2" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-B2c2" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Bmam" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-C 2a 2a" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-C 2b 2b" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C 2/m 2/m 2/e" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBA-C"], "C m m b" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-C2a2a" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-C2b2b" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "C2/m2/m2/e" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Cmmb" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-B 2 2a" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B 2 2c" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B 2/m 2/e 2/m" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBCA"], "B m c m" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B m e m" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B22a" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-B22c" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationBCA"], "B2/m2/e2/m" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Bmcm" :> $SpaceGroups["Cmme", "AlternativeSettings", "AxisPermutationBCA"], 
 "Bmem" :> $SpaceGroups["Cmme", "AlternativeSettings", "AxisPermutationBCA"], 
 "-A 2b 2b" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A 2c 2c" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A 2/e 2/m 2/m" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationCAB"], "A b m m" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A e m m" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A2b2b" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-A2c2c" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutationCAB"], "A2/e2/m2/m" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "Abmm" :> $SpaceGroups["Cmme", "AlternativeSettings", "AxisPermutationCAB"], 
 "Aemm" :> $SpaceGroups["Cmme", "AlternativeSettings", "AxisPermutationCAB"], 
 "-A 2 2b" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-A 2 2c" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A c m m" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-A22b" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-A22c" :> $SpaceGroups["Cmme", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Acmm" :> $SpaceGroups["Cmme", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-B 2 2" :> $SpaceGroups["Cmmm", "AlternativeSettings", 
   "AxisPermutationBCA"], "B 2/m 2/m 2/m" :> $SpaceGroups["Cmmm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B m m m" :> $SpaceGroups["Cmmm", "AlternativeSettings", 
   "AxisPermutationBCA"], "-B22" :> $SpaceGroups["Cmmm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "B2/m2/m2/m" :> $SpaceGroups["Cmmm", "AlternativeSettings", 
   "AxisPermutationBCA"], "Bmmm" :> $SpaceGroups["Cmmm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-A 2 2" :> $SpaceGroups["Cmmm", "AlternativeSettings", 
   "AxisPermutationCAB"], "A 2/m 2/m 2/m" :> $SpaceGroups["Cmmm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A m m m" :> $SpaceGroups["Cmmm", "AlternativeSettings", 
   "AxisPermutationCAB"], "-A22" :> $SpaceGroups["Cmmm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A2/m2/m2/m" :> $SpaceGroups["Cmmm", "AlternativeSettings", 
   "AxisPermutationCAB"], "Ammm" :> $SpaceGroups["Cmmm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "F 2/d -3:2" :> $SpaceGroups["Fd-3", "AlternativeSettings", 
   "OriginChoice2"], "-F 2uv 2vw 3" :> $SpaceGroups["Fd-3", 
   "AlternativeSettings", "OriginChoice2"], 
 "F d -3:2" :> $SpaceGroups["Fd-3", "AlternativeSettings", "OriginChoice2"], 
 "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\):2" :> 
  $SpaceGroups["Fd-3", "AlternativeSettings", "OriginChoice2"], 
 "F2/d-3:2" :> $SpaceGroups["Fd-3", "AlternativeSettings", "OriginChoice2"], 
 "-F2uv2vw3" :> $SpaceGroups["Fd-3", "AlternativeSettings", "OriginChoice2"], 
 "Fd-3:2" :> $SpaceGroups["Fd-3", "AlternativeSettings", "OriginChoice2"], 
 "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\):2" :> $SpaceGroups["Fd-3", 
   "AlternativeSettings", "OriginChoice2"], 
 "F 41/d -3 2/c:2" :> $SpaceGroups["Fd-3c", "AlternativeSettings", 
   "OriginChoice2"], "-F 4cvw 2vw 3" :> $SpaceGroups["Fd-3c", 
   "AlternativeSettings", "OriginChoice2"], 
 "F d -3 c:2" :> $SpaceGroups["Fd-3c", "AlternativeSettings", 
   "OriginChoice2"], "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)c:2" :> 
  $SpaceGroups["Fd-3c", "AlternativeSettings", "OriginChoice2"], 
 "F41/d-32/c:2" :> $SpaceGroups["Fd-3c", "AlternativeSettings", 
   "OriginChoice2"], "-F4cvw2vw3" :> $SpaceGroups["Fd-3c", 
   "AlternativeSettings", "OriginChoice2"], 
 "Fd-3c:2" :> $SpaceGroups["Fd-3c", "AlternativeSettings", "OriginChoice2"], 
 "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)c:2" :> $SpaceGroups["Fd-3c", 
   "AlternativeSettings", "OriginChoice2"], 
 "F 41/d -3 2/m:2" :> $SpaceGroups["Fd-3m", "AlternativeSettings", 
   "OriginChoice2"], "-F 4vw 2vw 3" :> $SpaceGroups["Fd-3m", 
   "AlternativeSettings", "OriginChoice2"], 
 "F d -3 m:2" :> $SpaceGroups["Fd-3m", "AlternativeSettings", 
   "OriginChoice2"], "Fd\!\(\*OverscriptBox[\(3\), \(_\)]\)m:2" :> 
  $SpaceGroups["Fd-3m", "AlternativeSettings", "OriginChoice2"], 
 "F41/d-32/m:2" :> $SpaceGroups["Fd-3m", "AlternativeSettings", 
   "OriginChoice2"], "-F4vw2vw3" :> $SpaceGroups["Fd-3m", 
   "AlternativeSettings", "OriginChoice2"], 
 "Fd-3m:2" :> $SpaceGroups["Fd-3m", "AlternativeSettings", "OriginChoice2"], 
 "Fd\!\(\*OverscriptBox[\(3\),\(_\)]\)m:2" :> $SpaceGroups["Fd-3m", 
   "AlternativeSettings", "OriginChoice2"], 
 "F -2d -2d" :> $SpaceGroups["Fdd2", "AlternativeSettings", 
   "AxisPermutationBCA"], "F d 2 d" :> $SpaceGroups["Fdd2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "F-2d-2d" :> $SpaceGroups["Fdd2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Fd2d" :> $SpaceGroups["Fdd2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "F -2d 2" :> $SpaceGroups["Fdd2", "AlternativeSettings", 
   "AxisPermutationCAB"], "F 2 d d" :> $SpaceGroups["Fdd2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "F-2d2" :> $SpaceGroups["Fdd2", "AlternativeSettings", 
   "AxisPermutationCAB"], "F2dd" :> $SpaceGroups["Fdd2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "F 2/d 2/d 2/d:2" :> $SpaceGroups["Fddd", "AlternativeSettings", 
   "OriginChoice2"], "-F 2uv 2vw" :> $SpaceGroups["Fddd", 
   "AlternativeSettings", "OriginChoice2"], 
 "F d d d:2" :> $SpaceGroups["Fddd", "AlternativeSettings", "OriginChoice2"], 
 "F2/d2/d2/d:2" :> $SpaceGroups["Fddd", "AlternativeSettings", 
   "OriginChoice2"], "-F2uv2vw" :> $SpaceGroups["Fddd", 
   "AlternativeSettings", "OriginChoice2"], 
 "Fddd:2" :> $SpaceGroups["Fddd", "AlternativeSettings", "OriginChoice2"], 
 "F -2 -2" :> $SpaceGroups["Fmm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "F m 2 m" :> $SpaceGroups["Fmm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "F-2-2" :> $SpaceGroups["Fmm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Fm2m" :> $SpaceGroups["Fmm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "F -2 2" :> $SpaceGroups["Fmm2", "AlternativeSettings", 
   "AxisPermutationCAB"], "F 2 m m" :> $SpaceGroups["Fmm2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "F-22" :> $SpaceGroups["Fmm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "F2mm" :> $SpaceGroups["Fmm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "F -4" :> $SpaceGroups["I-4", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)" :> $SpaceGroups["I-4", 
   "AlternativeSettings", "CellCentringF"], 
 "F-4" :> $SpaceGroups["I-4", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)" :> $SpaceGroups["I-4", 
   "AlternativeSettings", "CellCentringF"], 
 "F 4" :> $SpaceGroups["I4", "AlternativeSettings", "CellCentringF"], 
 "F4" :> $SpaceGroups["I4", "AlternativeSettings", "CellCentringF"], 
 "F 41" :> $SpaceGroups["I41", "AlternativeSettings", "CellCentringF"], 
 "F 4ad" :> $SpaceGroups["I41", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\), \(1\)]\)" :> $SpaceGroups["I41", 
   "AlternativeSettings", "CellCentringF"], 
 "F41" :> $SpaceGroups["I41", "AlternativeSettings", "CellCentringF"], 
 "F4ad" :> $SpaceGroups["I41", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\),\(1\)]\)" :> $SpaceGroups["I41", 
   "AlternativeSettings", "CellCentringF"], 
 "F 41 2 2" :> $SpaceGroups["I4122", "AlternativeSettings", "CellCentringF"], 
 "F 4ad 2" :> $SpaceGroups["I4122", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\), \(1\)]\)22" :> $SpaceGroups["I4122", 
   "AlternativeSettings", "CellCentringF"], 
 "F4122" :> $SpaceGroups["I4122", "AlternativeSettings", "CellCentringF"], 
 "F4ad2" :> $SpaceGroups["I4122", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\),\(1\)]\)22" :> $SpaceGroups["I4122", 
   "AlternativeSettings", "CellCentringF"], 
 "F 41/d" :> $SpaceGroups["I41/a", "AlternativeSettings", "CellCentringF"], 
 "F 4ad -1ad" :> $SpaceGroups["I41/a", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\), \(1\)]\)/d" :> 
  $SpaceGroups["I41/a", "AlternativeSettings", "CellCentringF"], 
 "F41/d" :> $SpaceGroups["I41/a", "AlternativeSettings", "CellCentringF"], 
 "F4ad-1ad" :> $SpaceGroups["I41/a", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\),\(1\)]\)/d" :> $SpaceGroups["I41/a", 
   "AlternativeSettings", "CellCentringF"], 
 "I 41/a:2" :> $SpaceGroups["I41/a", "AlternativeSettings", "OriginChoice2"], 
 "-I 4ad" :> $SpaceGroups["I41/a", "AlternativeSettings", "OriginChoice2"], 
 "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/a:2" :> $SpaceGroups["I41/a", 
   "AlternativeSettings", "OriginChoice2"], 
 "I41/a:2" :> $SpaceGroups["I41/a", "AlternativeSettings", "OriginChoice2"], 
 "-I4ad" :> $SpaceGroups["I41/a", "AlternativeSettings", "OriginChoice2"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/a:2" :> $SpaceGroups["I41/a", 
   "AlternativeSettings", "OriginChoice2"], 
 "F 41/d 2/d 2/c" :> $SpaceGroups["I41/acd", "AlternativeSettings", 
   "CellCentringF"], "F 41/d d c" :> $SpaceGroups["I41/acd", 
   "AlternativeSettings", "CellCentringF"], 
 "F 4ad 2a -1ad" :> $SpaceGroups["I41/acd", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\), \(1\)]\)/ddc" :> 
  $SpaceGroups["I41/acd", "AlternativeSettings", "CellCentringF"], 
 "F41/d2/d2/c" :> $SpaceGroups["I41/acd", "AlternativeSettings", 
   "CellCentringF"], "F41/ddc" :> $SpaceGroups["I41/acd", 
   "AlternativeSettings", "CellCentringF"], 
 "F4ad2a-1ad" :> $SpaceGroups["I41/acd", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\),\(1\)]\)/ddc" :> 
  $SpaceGroups["I41/acd", "AlternativeSettings", "CellCentringF"], 
 "-I 4bd 2c" :> $SpaceGroups["I41/acd", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/acd:2" :> 
  $SpaceGroups["I41/acd", "AlternativeSettings", "OriginChoice2"], 
 "-I4bd2c" :> $SpaceGroups["I41/acd", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/acd:2" :> 
  $SpaceGroups["I41/acd", "AlternativeSettings", "OriginChoice2"], 
 "F 41/d 2/d 2/m" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "CellCentringF"], "F 41/d d m" :> $SpaceGroups["I41/amd", 
   "AlternativeSettings", "CellCentringF"], 
 "F 4ad 2 -1ad" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\), \(1\)]\)/ddm" :> 
  $SpaceGroups["I41/amd", "AlternativeSettings", "CellCentringF"], 
 "F41/d2/d2/m" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "CellCentringF"], "F41/ddm" :> $SpaceGroups["I41/amd", 
   "AlternativeSettings", "CellCentringF"], 
 "F4ad2-1ad" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\),\(1\)]\)/ddm" :> 
  $SpaceGroups["I41/amd", "AlternativeSettings", "CellCentringF"], 
 "I 41/a 2/m 2/d:2" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "OriginChoice2"], "I 41/a m d:2" :> $SpaceGroups["I41/amd", 
   "AlternativeSettings", "OriginChoice2"], 
 "-I 4bd 2" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(I4\), \(1\)]\)/amd:2" :> 
  $SpaceGroups["I41/amd", "AlternativeSettings", "OriginChoice2"], 
 "I41/a2/m2/d:2" :> $SpaceGroups["I41/amd", "AlternativeSettings", 
   "OriginChoice2"], "I41/amd:2" :> $SpaceGroups["I41/amd", 
   "AlternativeSettings", "OriginChoice2"], 
 "-I4bd2" :> $SpaceGroups["I41/amd", "AlternativeSettings", "OriginChoice2"], 
 "\!\(\*SubscriptBox[\(I4\),\(1\)]\)/amd:2" :> 
  $SpaceGroups["I41/amd", "AlternativeSettings", "OriginChoice2"], 
 "F 41 d c" :> $SpaceGroups["I41cd", "AlternativeSettings", "CellCentringF"], 
 "F 4ad -2d" :> $SpaceGroups["I41cd", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\), \(1\)]\)dc" :> 
  $SpaceGroups["I41cd", "AlternativeSettings", "CellCentringF"], 
 "F41dc" :> $SpaceGroups["I41cd", "AlternativeSettings", "CellCentringF"], 
 "F4ad-2d" :> $SpaceGroups["I41cd", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\),\(1\)]\)dc" :> $SpaceGroups["I41cd", 
   "AlternativeSettings", "CellCentringF"], 
 "F 41 d m" :> $SpaceGroups["I41md", "AlternativeSettings", "CellCentringF"], 
 "F 4ad -2ad" :> $SpaceGroups["I41md", "AlternativeSettings", 
   "CellCentringF"], "\!\(\*SubscriptBox[\(F4\), \(1\)]\)dm" :> 
  $SpaceGroups["I41md", "AlternativeSettings", "CellCentringF"], 
 "F41dm" :> $SpaceGroups["I41md", "AlternativeSettings", "CellCentringF"], 
 "F4ad-2ad" :> $SpaceGroups["I41md", "AlternativeSettings", "CellCentringF"], 
 "\!\(\*SubscriptBox[\(F4\),\(1\)]\)dm" :> $SpaceGroups["I41md", 
   "AlternativeSettings", "CellCentringF"], 
 "F 4 2" :> $SpaceGroups["I422", "AlternativeSettings", "CellCentringF"], 
 "F 4 2 2" :> $SpaceGroups["I422", "AlternativeSettings", "CellCentringF"], 
 "F42" :> $SpaceGroups["I422", "AlternativeSettings", "CellCentringF"], 
 "F422" :> $SpaceGroups["I422", "AlternativeSettings", "CellCentringF"], 
 "F -4 -2ad" :> $SpaceGroups["I-42d", "AlternativeSettings", 
   "CellCentringF"], "F -4 d 2" :> $SpaceGroups["I-42d", 
   "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)d2" :> $SpaceGroups["I-42d", 
   "AlternativeSettings", "CellCentringF"], 
 "F-4-2ad" :> $SpaceGroups["I-42d", "AlternativeSettings", "CellCentringF"], 
 "F-4d2" :> $SpaceGroups["I-42d", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)d2" :> $SpaceGroups["I-42d", 
   "AlternativeSettings", "CellCentringF"], 
 "F -4 -2" :> $SpaceGroups["I-42m", "AlternativeSettings", "CellCentringF"], 
 "F -4 m 2" :> $SpaceGroups["I-42m", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)m2" :> $SpaceGroups["I-42m", 
   "AlternativeSettings", "CellCentringF"], 
 "F-4-2" :> $SpaceGroups["I-42m", "AlternativeSettings", "CellCentringF"], 
 "F-4m2" :> $SpaceGroups["I-42m", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)m2" :> $SpaceGroups["I-42m", 
   "AlternativeSettings", "CellCentringF"], 
 "F -4 2a" :> $SpaceGroups["I-4c2", "AlternativeSettings", "CellCentringF"], 
 "F -4 2 c" :> $SpaceGroups["I-4c2", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)2c" :> $SpaceGroups["I-4c2", 
   "AlternativeSettings", "CellCentringF"], 
 "F-42a" :> $SpaceGroups["I-4c2", "AlternativeSettings", "CellCentringF"], 
 "F-42c" :> $SpaceGroups["I-4c2", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)2c" :> $SpaceGroups["I-4c2", 
   "AlternativeSettings", "CellCentringF"], 
 "F 4 -2a" :> $SpaceGroups["I4cm", "AlternativeSettings", "CellCentringF"], 
 "F 4 m c" :> $SpaceGroups["I4cm", "AlternativeSettings", "CellCentringF"], 
 "F4-2a" :> $SpaceGroups["I4cm", "AlternativeSettings", "CellCentringF"], 
 "F4mc" :> $SpaceGroups["I4cm", "AlternativeSettings", "CellCentringF"], 
 "-F 4" :> $SpaceGroups["I4/m", "AlternativeSettings", "CellCentringF"], 
 "F 4/m" :> $SpaceGroups["I4/m", "AlternativeSettings", "CellCentringF"], 
 "-F4" :> $SpaceGroups["I4/m", "AlternativeSettings", "CellCentringF"], 
 "F4/m" :> $SpaceGroups["I4/m", "AlternativeSettings", "CellCentringF"], 
 "F -4 2" :> $SpaceGroups["I-4m2", "AlternativeSettings", "CellCentringF"], 
 "F -4 2 m" :> $SpaceGroups["I-4m2", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\), \(_\)]\)2m" :> $SpaceGroups["I-4m2", 
   "AlternativeSettings", "CellCentringF"], 
 "F-42" :> $SpaceGroups["I-4m2", "AlternativeSettings", "CellCentringF"], 
 "F-42m" :> $SpaceGroups["I-4m2", "AlternativeSettings", "CellCentringF"], 
 "F\!\(\*OverscriptBox[\(4\),\(_\)]\)2m" :> $SpaceGroups["I-4m2", 
   "AlternativeSettings", "CellCentringF"], 
 "-F 4 2a" :> $SpaceGroups["I4/mcm", "AlternativeSettings", "CellCentringF"], 
 "F 4/m 2/m 2/c" :> $SpaceGroups["I4/mcm", "AlternativeSettings", 
   "CellCentringF"], "F 4/m m c" :> $SpaceGroups["I4/mcm", 
   "AlternativeSettings", "CellCentringF"], 
 "-F42a" :> $SpaceGroups["I4/mcm", "AlternativeSettings", "CellCentringF"], 
 "F4/m2/m2/c" :> $SpaceGroups["I4/mcm", "AlternativeSettings", 
   "CellCentringF"], "F4/mmc" :> $SpaceGroups["I4/mcm", 
   "AlternativeSettings", "CellCentringF"], 
 "F 4 -2" :> $SpaceGroups["I4mm", "AlternativeSettings", "CellCentringF"], 
 "F 4 m m" :> $SpaceGroups["I4mm", "AlternativeSettings", "CellCentringF"], 
 "F4-2" :> $SpaceGroups["I4mm", "AlternativeSettings", "CellCentringF"], 
 "F4mm" :> $SpaceGroups["I4mm", "AlternativeSettings", "CellCentringF"], 
 "-F 4 2" :> $SpaceGroups["I4/mmm", "AlternativeSettings", "CellCentringC"], 
 "F 4/m 2/m 2/m" :> $SpaceGroups["I4/mmm", "AlternativeSettings", 
   "CellCentringC"], "F 4/m m m" :> $SpaceGroups["I4/mmm", 
   "AlternativeSettings", "CellCentringC"], 
 "-F42" :> $SpaceGroups["I4/mmm", "AlternativeSettings", "CellCentringC"], 
 "F4/m2/m2/m" :> $SpaceGroups["I4/mmm", "AlternativeSettings", 
   "CellCentringC"], "F4/mmm" :> $SpaceGroups["I4/mmm", 
   "AlternativeSettings", "CellCentringC"], 
 "I -2b -2b" :> $SpaceGroups["Iba2", "AlternativeSettings", 
   "AxisPermutationBCA"], "I c 2 a" :> $SpaceGroups["Iba2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I-2b-2b" :> $SpaceGroups["Iba2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Ic2a" :> $SpaceGroups["Iba2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I -2a 2" :> $SpaceGroups["Iba2", "AlternativeSettings", 
   "AxisPermutationCAB"], "I 2 c b" :> $SpaceGroups["Iba2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I-2a2" :> $SpaceGroups["Iba2", "AlternativeSettings", 
   "AxisPermutationCAB"], "I2cb" :> $SpaceGroups["Iba2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-I 2b 2b" :> $SpaceGroups["Ibam", "AlternativeSettings", 
   "AxisPermutationBCA"], "I 2/c 2/m 2/a" :> $SpaceGroups["Ibam", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I c m a" :> $SpaceGroups["Ibam", "AlternativeSettings", 
   "AxisPermutationBCA"], "-I2b2b" :> $SpaceGroups["Ibam", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I2/c2/m2/a" :> $SpaceGroups["Ibam", "AlternativeSettings", 
   "AxisPermutationBCA"], "Icma" :> $SpaceGroups["Ibam", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-I 2a 2" :> $SpaceGroups["Ibam", "AlternativeSettings", 
   "AxisPermutationCAB"], "I 2/m 2/c 2/b" :> $SpaceGroups["Ibam", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I m c b" :> $SpaceGroups["Ibam", "AlternativeSettings", 
   "AxisPermutationCAB"], "-I2a2" :> $SpaceGroups["Ibam", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I2/m2/c2/b" :> $SpaceGroups["Ibam", "AlternativeSettings", 
   "AxisPermutationCAB"], "Imcb" :> $SpaceGroups["Ibam", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I 21/c 21/a 21/b" :> $SpaceGroups["Ibca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-I 2a 2b" :> $SpaceGroups["Ibca", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "I c a b" :> $SpaceGroups["Ibca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "I21/c21/a21/b" :> 
  $SpaceGroups["Ibca", "AlternativeSettings", "AxisPermutationBA-C"], 
 "-I2a2b" :> $SpaceGroups["Ibca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Icab" :> $SpaceGroups["Ibca", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "I -2a -2a" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "I m 2 a" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "I-2a-2a" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Im2a" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "I 2 -2b" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "I b m 2" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "I2-2b" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Ibm2" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "I -2c -2c" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationBCA"], "I c 2 m" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I-2c-2c" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Ic2m" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I -2b 2" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationCAB"], "I 2 m b" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I-2b2" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutationCAB"], "I2mb" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I -2c 2" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "I 2 c m" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "I-2c2" :> $SpaceGroups["Ima2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "I2cm" :> $SpaceGroups["Ima2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "I -2 -2" :> $SpaceGroups["Imm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "I m 2 m" :> $SpaceGroups["Imm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I-2-2" :> $SpaceGroups["Imm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Im2m" :> $SpaceGroups["Imm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I -2 2" :> $SpaceGroups["Imm2", "AlternativeSettings", 
   "AxisPermutationCAB"], "I 2 m m" :> $SpaceGroups["Imm2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I-22" :> $SpaceGroups["Imm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "I2mm" :> $SpaceGroups["Imm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "I 21/m 21/a 21/m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-I 2c 2" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "I m a m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "I21/m21/a21/m" :> 
  $SpaceGroups["Imma", "AlternativeSettings", "AxisPermutationA-CB"], 
 "-I2c2" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Imam" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "I 21/m 21/m 21/b" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-I 2a 2a" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "I m m b" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "I21/m21/m21/b" :> 
  $SpaceGroups["Imma", "AlternativeSettings", "AxisPermutationBA-C"], 
 "-I2a2a" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Immb" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "I 21/m 21/c 21/m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationBCA"], "-I 2 2a" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I m c m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationBCA"], "I21/m21/c21/m" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-I22a" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationBCA"], "Imcm" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "I 21/b 21/m 21/m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationCAB"], "-I 2c 2c" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I b m m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationCAB"], "I21/b21/m21/m" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-I2c2c" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutationCAB"], "Ibmm" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "I 21/c 21/m 21/m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-I 2 2b" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "I c m m" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "I21/c21/m21/m" :> 
  $SpaceGroups["Imma", "AlternativeSettings", "AxisPermutation-CBA"], 
 "-I22b" :> $SpaceGroups["Imma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Icmm" :> $SpaceGroups["Imma", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "A -1" :> $SpaceGroups["P-1", "AlternativeSettings", "A-1"], 
 "A\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "A-1"], 
 "A-1" :> $SpaceGroups["P-1", "AlternativeSettings", "A-1"], 
 "A\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "A-1"], 
 "B -1" :> $SpaceGroups["P-1", "AlternativeSettings", "B-1"], 
 "B\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "B-1"], 
 "B-1" :> $SpaceGroups["P-1", "AlternativeSettings", "B-1"], 
 "B\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "B-1"], 
 "C -1" :> $SpaceGroups["P-1", "AlternativeSettings", "C-1"], 
 "C\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "C-1"], 
 "C-1" :> $SpaceGroups["P-1", "AlternativeSettings", "C-1"], 
 "C\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "C-1"], 
 "F -1" :> $SpaceGroups["P-1", "AlternativeSettings", "F-1"], 
 "F\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "F-1"], 
 "F-1" :> $SpaceGroups["P-1", "AlternativeSettings", "F-1"], 
 "F\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "F-1"], 
 "I -1" :> $SpaceGroups["P-1", "AlternativeSettings", "I-1"], 
 "I\!\(\*OverscriptBox[\(1\), \(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "I-1"], 
 "I-1" :> $SpaceGroups["P-1", "AlternativeSettings", "I-1"], 
 "I\!\(\*OverscriptBox[\(1\),\(_\)]\)" :> $SpaceGroups["P-1", 
   "AlternativeSettings", "I-1"], 
 "A 1" :> $SpaceGroups["P1", "AlternativeSettings", "A1"], 
 "A1" :> $SpaceGroups["P1", "AlternativeSettings", "A1"], 
 "B 1" :> $SpaceGroups["P1", "AlternativeSettings", "B1"], 
 "B1" :> $SpaceGroups["P1", "AlternativeSettings", "B1"], 
 "C 1" :> $SpaceGroups["P1", "AlternativeSettings", "C1"], 
 "C1" :> $SpaceGroups["P1", "AlternativeSettings", "C1"], 
 "F 1" :> $SpaceGroups["P1", "AlternativeSettings", "F1"], 
 "F1" :> $SpaceGroups["P1", "AlternativeSettings", "F1"], 
 "I 1" :> $SpaceGroups["P1", "AlternativeSettings", "I1"], 
 "I1" :> $SpaceGroups["P1", "AlternativeSettings", "I1"], 
 "A 2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringA"], 
 "A 2 1 1" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringA"], 
 "A2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringA"], 
 "A211" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringA"], 
 "B 1 2 1" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringB"], 
 "B 2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringB"], 
 "B121" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringB"], 
 "B2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringB"], 
 "C 1 1 2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringC"], 
 "C 2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringC"], 
 "C112" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringC"], 
 "C2" :> $SpaceGroups["P2", "AlternativeSettings", "CellCentringC"], 
 "P 2 1 1" :> $SpaceGroups["P2", "AlternativeSettings", "UniqueAxisA"], 
 "P 2x" :> $SpaceGroups["P2", "AlternativeSettings", "UniqueAxisA"], 
 "P211" :> $SpaceGroups["P2", "AlternativeSettings", "UniqueAxisA"], 
 "P2x" :> $SpaceGroups["P2", "AlternativeSettings", "UniqueAxisA"], 
 "P 1 1 2" :> $SpaceGroups["P2", "AlternativeSettings", "UniqueAxisC"], 
 "P112" :> $SpaceGroups["P2", "AlternativeSettings", "UniqueAxisC"], 
 "A 21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringA"], 
 "A 21 1 1" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\), \(1\)]\)" :> $SpaceGroups["P21", 
   "AlternativeSettings", "CellCentringA"], 
 "A21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringA"], 
 "A2111" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)" :> $SpaceGroups["P21", 
   "AlternativeSettings", "CellCentringA"], 
 "B 1 21 1" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringB"], 
 "B 21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\), \(1\)]\)" :> $SpaceGroups["P21", 
   "AlternativeSettings", "CellCentringB"], 
 "B1211" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringB"], 
 "B21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\),\(1\)]\)" :> $SpaceGroups["P21", 
   "AlternativeSettings", "CellCentringB"], 
 "C 1 1 21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringC"], 
 "C 21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\), \(1\)]\)" :> $SpaceGroups["P21", 
   "AlternativeSettings", "CellCentringC"], 
 "C1121" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringC"], 
 "C21" :> $SpaceGroups["P21", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\),\(1\)]\)" :> $SpaceGroups["P21", 
   "AlternativeSettings", "CellCentringC"], 
 "P 21 1 1" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisA"], 
 "P 2xa" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisA"], 
 "P2111" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisA"], 
 "P2xa" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisA"], 
 "P 1 1 21" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisC"], 
 "P 2c" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisC"], 
 "P1121" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisC"], 
 "P2c" :> $SpaceGroups["P21", "AlternativeSettings", "UniqueAxisC"], 
 "P 21 2 21" :> $SpaceGroups["P21212", "AlternativeSettings", 
   "AxisPermutationBCA"], "P 2ac 2ac" :> $SpaceGroups["P21212", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)\!\(\*SubscriptBox[\(22\), \(1\)]\)" :> 
  $SpaceGroups["P21212", "AlternativeSettings", "AxisPermutationBCA"], 
 "P21221" :> $SpaceGroups["P21212", "AlternativeSettings", 
   "AxisPermutationBCA"], "P2ac2ac" :> $SpaceGroups["P21212", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)\!\(\*SubscriptBox[\(22\),\(1\)]\)" :> 
  $SpaceGroups["P21212", "AlternativeSettings", "AxisPermutationBCA"], 
 "P 2 21 21" :> $SpaceGroups["P21212", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2bc 2" :> $SpaceGroups["P21212", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P22\), \(1\)]\)\!\(\*SubscriptBox[\(2\), \(1\)]\)" :> 
  $SpaceGroups["P21212", "AlternativeSettings", "AxisPermutationCAB"], 
 "P22121" :> $SpaceGroups["P21212", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2bc2" :> $SpaceGroups["P21212", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P22\),\(1\)]\)\!\(\*SubscriptBox[\(2\),\(1\)]\)" :> 
  $SpaceGroups["P21212", "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/b 1 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "-P 2xab" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "P21/b11" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "-P2xab" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "P 21/n 1 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "-P 2xn" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "P21/n11" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "-P2xn" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "A 21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A 21/d 1 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\), \(1\)]\)/d" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A21/d11" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)/d" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2_CellCentringA"], 
 "P 21/c 1 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "-P 2xac" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "P21/c11" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "-P2xac" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "A 21/b" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A 21/b 1 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\), \(1\)]\)/b" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A21/b" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A21/b11" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)/b" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3_CellCentringA"], 
 "P 1 21/n 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "P 21/n" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "-P 2yn" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "\!\(\*SubscriptBox[\(P2\), \(1\)]\)/n" :> 
  $SpaceGroups["P21/c", "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "P121/n1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "P21/n" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "-P2yn" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)/n" :> 
  $SpaceGroups["P21/c", "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "B 1 21/d 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B 21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "-B 2ydav" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\), \(1\)]\)/d" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B121/d1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "-B2ydav" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\),\(1\)]\)/d" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2_CellCentringB"], 
 "P 1 21/a 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "P 21/a" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "-P 2yab" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "\!\(\*SubscriptBox[\(P2\), \(1\)]\)/a" :> 
  $SpaceGroups["P21/c", "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "P121/a1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "P21/a" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "-P2yab" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)/a" :> 
  $SpaceGroups["P21/c", "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "B 1 21/a 1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B 21/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\), \(1\)]\)/a" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B121/a1" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B21/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\),\(1\)]\)/a" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3_CellCentringB"], 
 "P 1 1 21/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "-P 2ac" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "P1121/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "-P2ac" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "P 1 1 21/n" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "-P 2n" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "P1121/n" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "-P2n" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "C 1 1 21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C 21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\), \(1\)]\)/d" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C1121/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C21/d" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\),\(1\)]\)/d" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2_CellCentringC"], 
 "P 1 1 21/b" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "P 21/b" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "-P 2bc" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "\!\(\*SubscriptBox[\(P2\), \(1\)]\)/b" :> 
  $SpaceGroups["P21/c", "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "P1121/b" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "P21/b" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "-P2bc" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "\!\(\*SubscriptBox[\(P2\),\(1\)]\)/b" :> 
  $SpaceGroups["P21/c", "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "C 1 1 21/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C 21/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\), \(1\)]\)/a" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C1121/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C21/a" :> $SpaceGroups["P21/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\),\(1\)]\)/a" :> $SpaceGroups["P21/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3_CellCentringC"], 
 "A 21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringA"], 
 "A 21/m 1 1" :> $SpaceGroups["P21/m", "AlternativeSettings", 
   "CellCentringA"], "\!\(\*SubscriptBox[\(A2\), \(1\)]\)/m" :> 
  $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringA"], 
 "A21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringA"], 
 "A21/m11" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringA"], 
 "\!\(\*SubscriptBox[\(A2\),\(1\)]\)/m" :> $SpaceGroups["P21/m", 
   "AlternativeSettings", "CellCentringA"], 
 "B 1 21/m 1" :> $SpaceGroups["P21/m", "AlternativeSettings", 
   "CellCentringB"], "B 21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", 
   "CellCentringB"], "\!\(\*SubscriptBox[\(B2\), \(1\)]\)/m" :> 
  $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringB"], 
 "B121/m1" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringB"], 
 "B21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringB"], 
 "\!\(\*SubscriptBox[\(B2\),\(1\)]\)/m" :> $SpaceGroups["P21/m", 
   "AlternativeSettings", "CellCentringB"], 
 "C 1 1 21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", 
   "CellCentringC"], "C 21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C2\), \(1\)]\)/m" :> 
  $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringC"], 
 "C1121/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringC"], 
 "C21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C2\),\(1\)]\)/m" :> $SpaceGroups["P21/m", 
   "AlternativeSettings", "CellCentringC"], 
 "P 21/m 1 1" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisA"], 
 "-P 2xa" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisA"], 
 "P21/m11" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisA"], 
 "-P2xa" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisA"], 
 "P 1 1 21/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisC"], 
 "-P 2c" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisC"], 
 "P1121/m" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisC"], 
 "-P2c" :> $SpaceGroups["P21/m", "AlternativeSettings", "UniqueAxisC"], 
 "P 2 21 2" :> $SpaceGroups["P2221", "AlternativeSettings", 
   "AxisPermutationBCA"], "P 2 2b" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(P22\), \(1\)]\)2" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P2212" :> $SpaceGroups["P2221", "AlternativeSettings", 
   "AxisPermutationBCA"], "P22b" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(P22\),\(1\)]\)2" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21 2 2" :> $SpaceGroups["P2221", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2a 2a" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)22" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P2122" :> $SpaceGroups["P2221", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2a2a" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)22" :> $SpaceGroups["P2221", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 2/b 1 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "-P 2xb" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "P2/b11" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "-P2xb" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "P 2/n 1 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "-P 2xbc" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "P2/n11" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "-P2xbc" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "A 2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A 2/d 1 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A2/d11" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "P 2/c 1 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "-P 2xc" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "P2/c11" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "-P2xc" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "A 2/b" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A 2/b 1 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A2/b" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A2/b11" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "P 1 2/n 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "P 2/n" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "-P 2yac" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "P12/n1" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "P2/n" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "-P2yac" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "B 1 2/d 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B 2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B12/d1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "P 1 2/a 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "P 2/a" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "-P 2ya" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "P12/a1" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "P2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "-P2ya" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "B 1 2/a 1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B 2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B12/a1" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "P 1 1 2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "-P 2a" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "P112/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "-P2a" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "P 1 1 2/n" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "-P 2ab" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "P112/n" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "-P2ab" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "C 1 1 2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C 2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C112/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C2/d" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "P 1 1 2/b" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "-P 2b" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "P 2/b" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "P112/b" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "-P2b" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "P2/b" :> $SpaceGroups["P2/c", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "C 1 1 2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C 2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C112/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C2/a" :> $SpaceGroups["P2/c", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "A 2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringA"], 
 "A 2/m 1 1" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringA"], 
 "A2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringA"], 
 "A2/m11" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringA"], 
 "B 1 2/m 1" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringB"], 
 "B 2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringB"], 
 "B12/m1" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringB"], 
 "B2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringB"], 
 "C 1 1 2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringC"], 
 "C 2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringC"], 
 "C112/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringC"], 
 "C2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "CellCentringC"], 
 "P 2/m 1 1" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisA"], 
 "-P 2x" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisA"], 
 "P2/m11" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisA"], 
 "-P2x" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisA"], 
 "P 1 1 2/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisC"], 
 "-P 2" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisC"], 
 "P112/m" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisC"], 
 "-P2" :> $SpaceGroups["P2/m", "AlternativeSettings", "UniqueAxisC"], 
 "-H 3" :> $SpaceGroups["P-3", "AlternativeSettings", "TripleHexagonalCell"], 
 "H -3" :> $SpaceGroups["P-3", "AlternativeSettings", "TripleHexagonalCell"], 
 "H\!\(\*OverscriptBox[\(3\), \(_\)]\)" :> $SpaceGroups["P-3", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H3" :> $SpaceGroups["P-3", "AlternativeSettings", "TripleHexagonalCell"], 
 "H-3" :> $SpaceGroups["P-3", "AlternativeSettings", "TripleHexagonalCell"], 
 "H\!\(\*OverscriptBox[\(3\),\(_\)]\)" :> $SpaceGroups["P-3", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3" :> $SpaceGroups["P3", "AlternativeSettings", "TripleHexagonalCell"], 
 "H3" :> $SpaceGroups["P3", "AlternativeSettings", "TripleHexagonalCell"], 
 "H 31" :> $SpaceGroups["P31", "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\), \(1\)]\)" :> $SpaceGroups["P31", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H31" :> $SpaceGroups["P31", "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\),\(1\)]\)" :> $SpaceGroups["P31", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 31 2\"" :> $SpaceGroups["P3112", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 31 2 1" :> $SpaceGroups["P3112", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\), \(1\)]\)21" :> $SpaceGroups["P3112", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H312\"" :> $SpaceGroups["P3112", "AlternativeSettings", 
   "TripleHexagonalCell"], "H3121" :> $SpaceGroups["P3112", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\),\(1\)]\)21" :> $SpaceGroups["P3112", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3 2\"" :> $SpaceGroups["P312", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 3 2 1" :> $SpaceGroups["P312", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H32\"" :> $SpaceGroups["P312", "AlternativeSettings", 
   "TripleHexagonalCell"], "H321" :> $SpaceGroups["P312", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 31 1 2" :> $SpaceGroups["P3121", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 31 2 (0 0 2)" :> 
  $SpaceGroups["P3121", "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\), \(1\)]\)12" :> $SpaceGroups["P3121", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H3112" :> $SpaceGroups["P3121", "AlternativeSettings", 
   "TripleHexagonalCell"], "H312(002)" :> $SpaceGroups["P3121", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\),\(1\)]\)12" :> $SpaceGroups["P3121", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H 3 2\"c" :> $SpaceGroups["P-31c", "AlternativeSettings", 
   "TripleHexagonalCell"], "H -3 2/c 1" :> $SpaceGroups["P-31c", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H -3 c 1" :> $SpaceGroups["P-31c", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\), \(_\)]\)c1" :> 
  $SpaceGroups["P-31c", "AlternativeSettings", "TripleHexagonalCell"], 
 "-H32\"c" :> $SpaceGroups["P-31c", "AlternativeSettings", 
   "TripleHexagonalCell"], "H-32/c1" :> $SpaceGroups["P-31c", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H-3c1" :> $SpaceGroups["P-31c", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\),\(_\)]\)c1" :> 
  $SpaceGroups["P-31c", "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3 -2\"c" :> $SpaceGroups["P31c", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 3 c 1" :> $SpaceGroups["P31c", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H3-2\"c" :> $SpaceGroups["P31c", "AlternativeSettings", 
   "TripleHexagonalCell"], "H3c1" :> $SpaceGroups["P31c", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H 3 2\"" :> $SpaceGroups["P-31m", "AlternativeSettings", 
   "TripleHexagonalCell"], "H -3 2/m 1" :> $SpaceGroups["P-31m", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H -3 m 1" :> $SpaceGroups["P-31m", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\), \(_\)]\)m1" :> 
  $SpaceGroups["P-31m", "AlternativeSettings", "TripleHexagonalCell"], 
 "-H32\"" :> $SpaceGroups["P-31m", "AlternativeSettings", 
   "TripleHexagonalCell"], "H-32/m1" :> $SpaceGroups["P-31m", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H-3m1" :> $SpaceGroups["P-31m", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\),\(_\)]\)m1" :> 
  $SpaceGroups["P-31m", "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3 -2\"" :> $SpaceGroups["P31m", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 3 m 1" :> $SpaceGroups["P31m", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H3-2\"" :> $SpaceGroups["P31m", "AlternativeSettings", 
   "TripleHexagonalCell"], "H3m1" :> $SpaceGroups["P31m", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 32" :> $SpaceGroups["P32", "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\), \(2\)]\)" :> $SpaceGroups["P32", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H32" :> $SpaceGroups["P32", "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\),\(2\)]\)" :> $SpaceGroups["P32", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3 1 2" :> $SpaceGroups["P321", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 3 2" :> $SpaceGroups["P321", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H312" :> $SpaceGroups["P321", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 32 2\"" :> $SpaceGroups["P3212", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 32 2 1" :> $SpaceGroups["P3212", "AlternativeSettings", 
   "TripleHexagonalCell"], "\!\(\*SubscriptBox[\(H3\), \(2\)]\)21" :> 
  $SpaceGroups["P3212", "AlternativeSettings", "TripleHexagonalCell"], 
 "H322\"" :> $SpaceGroups["P3212", "AlternativeSettings", 
   "TripleHexagonalCell"], "H3221" :> $SpaceGroups["P3212", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\),\(2\)]\)21" :> $SpaceGroups["P3212", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H 32 1 2" :> $SpaceGroups["P3221", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 32 2 (0 0 4)" :> 
  $SpaceGroups["P3221", "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\), \(2\)]\)12" :> $SpaceGroups["P3221", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H3212" :> $SpaceGroups["P3221", "AlternativeSettings", 
   "TripleHexagonalCell"], "H322(004)" :> $SpaceGroups["P3221", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "\!\(\*SubscriptBox[\(H3\),\(2\)]\)12" :> $SpaceGroups["P3221", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H -3 1 2/c" :> $SpaceGroups["P-3c1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H -3 1 c" :> $SpaceGroups["P-3c1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H 3 2c" :> $SpaceGroups["P-3c1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\), \(_\)]\)1c" :> 
  $SpaceGroups["P-3c1", "AlternativeSettings", "TripleHexagonalCell"], 
 "H-312/c" :> $SpaceGroups["P-3c1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H-31c" :> $SpaceGroups["P-3c1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H32c" :> $SpaceGroups["P-3c1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\),\(_\)]\)1c" :> 
  $SpaceGroups["P-3c1", "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3 1 c" :> $SpaceGroups["P3c1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 3 -2c" :> $SpaceGroups["P3c1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H31c" :> $SpaceGroups["P3c1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H3-2c" :> $SpaceGroups["P3c1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H -3 1 2/m" :> $SpaceGroups["P-3m1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H -3 1 m" :> $SpaceGroups["P-3m1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H 3 2" :> $SpaceGroups["P-3m1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\), \(_\)]\)1m" :> 
  $SpaceGroups["P-3m1", "AlternativeSettings", "TripleHexagonalCell"], 
 "H-312/m" :> $SpaceGroups["P-3m1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H-31m" :> $SpaceGroups["P-3m1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "-H32" :> $SpaceGroups["P-3m1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H\!\(\*OverscriptBox[\(3\),\(_\)]\)1m" :> 
  $SpaceGroups["P-3m1", "AlternativeSettings", "TripleHexagonalCell"], 
 "H 3 1 m" :> $SpaceGroups["P3m1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H 3 -2" :> $SpaceGroups["P3m1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "H31m" :> $SpaceGroups["P3m1", "AlternativeSettings", 
   "TripleHexagonalCell"], "H3-2" :> $SpaceGroups["P3m1", 
   "AlternativeSettings", "TripleHexagonalCell"], 
 "C -4" :> $SpaceGroups["P-4", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)" :> $SpaceGroups["P-4", 
   "AlternativeSettings", "CellCentringC"], 
 "C-4" :> $SpaceGroups["P-4", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)" :> $SpaceGroups["P-4", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4" :> $SpaceGroups["P4", "AlternativeSettings", "CellCentringC"], 
 "C4" :> $SpaceGroups["P4", "AlternativeSettings", "CellCentringC"], 
 "C 41" :> $SpaceGroups["P41", "AlternativeSettings", "CellCentringC"], 
 "C 4w" :> $SpaceGroups["P41", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(1\)]\)" :> $SpaceGroups["P41", 
   "AlternativeSettings", "CellCentringC"], 
 "C41" :> $SpaceGroups["P41", "AlternativeSettings", "CellCentringC"], 
 "C4w" :> $SpaceGroups["P41", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(1\)]\)" :> $SpaceGroups["P41", 
   "AlternativeSettings", "CellCentringC"], 
 "C 41 2 21" :> $SpaceGroups["P41212", "AlternativeSettings", 
   "CellCentringC"], "C 4aw 2c" :> $SpaceGroups["P41212", 
   "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(1\)]\)\!\(\*SubscriptBox[\(22\), \(1\)]\)" :> 
  $SpaceGroups["P41212", "AlternativeSettings", "CellCentringC"], 
 "C41221" :> $SpaceGroups["P41212", "AlternativeSettings", "CellCentringC"], 
 "C4aw2c" :> $SpaceGroups["P41212", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(1\)]\)\!\(\*SubscriptBox[\(22\),\(1\)]\)" :> 
  $SpaceGroups["P41212", "AlternativeSettings", "CellCentringC"], 
 "C 41 2 2" :> $SpaceGroups["P4122", "AlternativeSettings", "CellCentringC"], 
 "C 4w 2w" :> $SpaceGroups["P4122", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(1\)]\)22" :> $SpaceGroups["P4122", 
   "AlternativeSettings", "CellCentringC"], 
 "C4122" :> $SpaceGroups["P4122", "AlternativeSettings", "CellCentringC"], 
 "C4w2w" :> $SpaceGroups["P4122", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(1\)]\)22" :> $SpaceGroups["P4122", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4c" :> $SpaceGroups["P42", "AlternativeSettings", "CellCentringC"], 
 "C4c" :> $SpaceGroups["P42", "AlternativeSettings", "CellCentringC"], 
 "C 4 2 21" :> $SpaceGroups["P4212", "AlternativeSettings", "CellCentringC"], 
 "C 4a 2" :> $SpaceGroups["P4212", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C422\), \(1\)]\)" :> $SpaceGroups["P4212", 
   "AlternativeSettings", "CellCentringC"], 
 "C4221" :> $SpaceGroups["P4212", "AlternativeSettings", "CellCentringC"], 
 "C4a2" :> $SpaceGroups["P4212", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C422\),\(1\)]\)" :> $SpaceGroups["P4212", 
   "AlternativeSettings", "CellCentringC"], 
 "C -4 -2ac" :> $SpaceGroups["P-421c", "AlternativeSettings", 
   "CellCentringC"], "C -4 c 21" :> $SpaceGroups["P-421c", 
   "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)\!\(\*SubscriptBox[\(c2\), \(1\)]\)" :> 
  $SpaceGroups["P-421c", "AlternativeSettings", "CellCentringC"], 
 "C-4-2ac" :> $SpaceGroups["P-421c", "AlternativeSettings", "CellCentringC"], 
 "C-4c21" :> $SpaceGroups["P-421c", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)\!\(\*SubscriptBox[\(c2\),\(1\)]\)" :> 
  $SpaceGroups["P-421c", "AlternativeSettings", "CellCentringC"], 
 "C -4 -2a" :> $SpaceGroups["P-421m", "AlternativeSettings", 
   "CellCentringC"], "C -4 m 21" :> $SpaceGroups["P-421m", 
   "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)\!\(\*SubscriptBox[\(m2\), \(1\)]\)" :> 
  $SpaceGroups["P-421m", "AlternativeSettings", "CellCentringC"], 
 "C-4-2a" :> $SpaceGroups["P-421m", "AlternativeSettings", "CellCentringC"], 
 "C-4m21" :> $SpaceGroups["P-421m", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)\!\(\*SubscriptBox[\(m2\),\(1\)]\)" :> 
  $SpaceGroups["P-421m", "AlternativeSettings", "CellCentringC"], 
 "C 4 2" :> $SpaceGroups["P422", "AlternativeSettings", "CellCentringC"], 
 "C 4 2 2" :> $SpaceGroups["P422", "AlternativeSettings", "CellCentringC"], 
 "C42" :> $SpaceGroups["P422", "AlternativeSettings", "CellCentringC"], 
 "C422" :> $SpaceGroups["P422", "AlternativeSettings", "CellCentringC"], 
 "C 42 2 21" :> $SpaceGroups["P42212", "AlternativeSettings", 
   "CellCentringC"], "C 4ac 2" :> $SpaceGroups["P42212", 
   "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(2\)]\)\!\(\*SubscriptBox[\(22\), \(1\)]\)" :> 
  $SpaceGroups["P42212", "AlternativeSettings", "CellCentringC"], 
 "C42221" :> $SpaceGroups["P42212", "AlternativeSettings", "CellCentringC"], 
 "C4ac2" :> $SpaceGroups["P42212", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)\!\(\*SubscriptBox[\(22\),\(1\)]\)" :> 
  $SpaceGroups["P42212", "AlternativeSettings", "CellCentringC"], 
 "C 42 2 2" :> $SpaceGroups["P4222", "AlternativeSettings", "CellCentringC"], 
 "C 4c 2c" :> $SpaceGroups["P4222", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(2\)]\)22" :> $SpaceGroups["P4222", 
   "AlternativeSettings", "CellCentringC"], 
 "C4222" :> $SpaceGroups["P4222", "AlternativeSettings", "CellCentringC"], 
 "C4c2c" :> $SpaceGroups["P4222", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)22" :> $SpaceGroups["P4222", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42 c b" :> $SpaceGroups["P42bc", "AlternativeSettings", "CellCentringC"], 
 "C 4c -2ac" :> $SpaceGroups["P42bc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)cb" :> 
  $SpaceGroups["P42bc", "AlternativeSettings", "CellCentringC"], 
 "C42cb" :> $SpaceGroups["P42bc", "AlternativeSettings", "CellCentringC"], 
 "C4c-2ac" :> $SpaceGroups["P42bc", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)cb" :> $SpaceGroups["P42bc", 
   "AlternativeSettings", "CellCentringC"], 
 "C -4 -2c" :> $SpaceGroups["P-42c", "AlternativeSettings", "CellCentringC"], 
 "C -4 c 2" :> $SpaceGroups["P-42c", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)c2" :> $SpaceGroups["P-42c", 
   "AlternativeSettings", "CellCentringC"], 
 "C-4-2c" :> $SpaceGroups["P-42c", "AlternativeSettings", "CellCentringC"], 
 "C-4c2" :> $SpaceGroups["P-42c", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)c2" :> $SpaceGroups["P-42c", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42 m c" :> $SpaceGroups["P42cm", "AlternativeSettings", "CellCentringC"], 
 "C 4c -2" :> $SpaceGroups["P42cm", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(2\)]\)mc" :> $SpaceGroups["P42cm", 
   "AlternativeSettings", "CellCentringC"], 
 "C42mc" :> $SpaceGroups["P42cm", "AlternativeSettings", "CellCentringC"], 
 "C4c-2" :> $SpaceGroups["P42cm", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)mc" :> $SpaceGroups["P42cm", 
   "AlternativeSettings", "CellCentringC"], 
 "C -4 -2" :> $SpaceGroups["P-42m", "AlternativeSettings", "CellCentringC"], 
 "C -4 m 2" :> $SpaceGroups["P-42m", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)m2" :> $SpaceGroups["P-42m", 
   "AlternativeSettings", "CellCentringC"], 
 "C-4-2" :> $SpaceGroups["P-42m", "AlternativeSettings", "CellCentringC"], 
 "C-4m2" :> $SpaceGroups["P-42m", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)m2" :> $SpaceGroups["P-42m", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42/m" :> $SpaceGroups["P42/m", "AlternativeSettings", "CellCentringC"], 
 "-C 4c" :> $SpaceGroups["P42/m", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/m" :> $SpaceGroups["P42/m", 
   "AlternativeSettings", "CellCentringC"], 
 "C42/m" :> $SpaceGroups["P42/m", "AlternativeSettings", "CellCentringC"], 
 "-C4c" :> $SpaceGroups["P42/m", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/m" :> $SpaceGroups["P42/m", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42/m 2/c 21/b" :> $SpaceGroups["P42/mbc", "AlternativeSettings", 
   "CellCentringC"], "C 42/m c b" :> $SpaceGroups["P42/mbc", 
   "AlternativeSettings", "CellCentringC"], 
 "-C 4c 2ac" :> $SpaceGroups["P42/mbc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/mcb" :> 
  $SpaceGroups["P42/mbc", "AlternativeSettings", "CellCentringC"], 
 "C42/m2/c21/b" :> $SpaceGroups["P42/mbc", "AlternativeSettings", 
   "CellCentringC"], "C42/mcb" :> $SpaceGroups["P42/mbc", 
   "AlternativeSettings", "CellCentringC"], 
 "-C4c2ac" :> $SpaceGroups["P42/mbc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/mcb" :> 
  $SpaceGroups["P42/mbc", "AlternativeSettings", "CellCentringC"], 
 "C 42/m 2/m 2/c" :> $SpaceGroups["P42/mcm", "AlternativeSettings", 
   "CellCentringC"], "C 42/m m c" :> $SpaceGroups["P42/mcm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C 4c 2" :> $SpaceGroups["P42/mcm", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/mmc" :> 
  $SpaceGroups["P42/mcm", "AlternativeSettings", "CellCentringC"], 
 "C42/m2/m2/c" :> $SpaceGroups["P42/mcm", "AlternativeSettings", 
   "CellCentringC"], "C42/mmc" :> $SpaceGroups["P42/mcm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C4c2" :> $SpaceGroups["P42/mcm", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/mmc" :> $SpaceGroups["P42/mcm", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42/m 2/c 2/m" :> $SpaceGroups["P42/mmc", "AlternativeSettings", 
   "CellCentringC"], "C 42/m c m" :> $SpaceGroups["P42/mmc", 
   "AlternativeSettings", "CellCentringC"], 
 "-C 4c 2c" :> $SpaceGroups["P42/mmc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/mcm" :> 
  $SpaceGroups["P42/mmc", "AlternativeSettings", "CellCentringC"], 
 "C42/m2/c2/m" :> $SpaceGroups["P42/mmc", "AlternativeSettings", 
   "CellCentringC"], "C42/mcm" :> $SpaceGroups["P42/mmc", 
   "AlternativeSettings", "CellCentringC"], 
 "-C4c2c" :> $SpaceGroups["P42/mmc", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/mcm" :> $SpaceGroups["P42/mmc", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42/m 2/m 21/n" :> $SpaceGroups["P42/mnm", "AlternativeSettings", 
   "CellCentringC"], "C 42/m m n" :> $SpaceGroups["P42/mnm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C 4ac 2" :> $SpaceGroups["P42/mnm", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/mmn" :> 
  $SpaceGroups["P42/mnm", "AlternativeSettings", "CellCentringC"], 
 "C42/m2/m21/n" :> $SpaceGroups["P42/mnm", "AlternativeSettings", 
   "CellCentringC"], "C42/mmn" :> $SpaceGroups["P42/mnm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C4ac2" :> $SpaceGroups["P42/mnm", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/mmn" :> $SpaceGroups["P42/mnm", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42/a" :> $SpaceGroups["P42/n", "AlternativeSettings", "CellCentringC"], 
 "C 4ac -1ac" :> $SpaceGroups["P42/n", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/a" :> 
  $SpaceGroups["P42/n", "AlternativeSettings", "CellCentringC"], 
 "C42/a" :> $SpaceGroups["P42/n", "AlternativeSettings", "CellCentringC"], 
 "C4ac-1ac" :> $SpaceGroups["P42/n", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/a" :> $SpaceGroups["P42/n", 
   "AlternativeSettings", "CellCentringC"], 
 "P 42/n:2" :> $SpaceGroups["P42/n", "AlternativeSettings", "OriginChoice2"], 
 "-P 4bc" :> $SpaceGroups["P42/n", "AlternativeSettings", "OriginChoice2"], 
 "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/n:2" :> $SpaceGroups["P42/n", 
   "AlternativeSettings", "OriginChoice2"], 
 "P42/n:2" :> $SpaceGroups["P42/n", "AlternativeSettings", "OriginChoice2"], 
 "-P4bc" :> $SpaceGroups["P42/n", "AlternativeSettings", "OriginChoice2"], 
 "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/n:2" :> $SpaceGroups["P42/n", 
   "AlternativeSettings", "OriginChoice2"], 
 "C 42/a 2/c 2/b" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "CellCentringC"], "C 42/a c b" :> $SpaceGroups["P42/nbc", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4ac 2a -1ac" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/acb" :> 
  $SpaceGroups["P42/nbc", "AlternativeSettings", "CellCentringC"], 
 "C42/a2/c2/b" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "CellCentringC"], "C42/acb" :> $SpaceGroups["P42/nbc", 
   "AlternativeSettings", "CellCentringC"], 
 "C4ac2a-1ac" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/acb" :> 
  $SpaceGroups["P42/nbc", "AlternativeSettings", "CellCentringC"], 
 "P 42/n 2/b 2/c:2" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "OriginChoice2"], "P 42/n b c:2" :> $SpaceGroups["P42/nbc", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P 4ac 2b" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nbc:2" :> 
  $SpaceGroups["P42/nbc", "AlternativeSettings", "OriginChoice2"], 
 "P42/n2/b2/c:2" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "OriginChoice2"], "P42/nbc:2" :> $SpaceGroups["P42/nbc", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P4ac2b" :> $SpaceGroups["P42/nbc", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nbc:2" :> 
  $SpaceGroups["P42/nbc", "AlternativeSettings", "OriginChoice2"], 
 "C 42/a 2/2 21/c" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "CellCentringC"], "C 42/a m c" :> $SpaceGroups["P42/ncm", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4ac 2c -1ac" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/amc" :> 
  $SpaceGroups["P42/ncm", "AlternativeSettings", "CellCentringC"], 
 "C42/a2/221/c" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "CellCentringC"], "C42/amc" :> $SpaceGroups["P42/ncm", 
   "AlternativeSettings", "CellCentringC"], 
 "C4ac2c-1ac" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/amc" :> 
  $SpaceGroups["P42/ncm", "AlternativeSettings", "CellCentringC"], 
 "P 42/n 21/c 2/m:2" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "OriginChoice2"], "P 42/n c m:2" :> $SpaceGroups["P42/ncm", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P 4ac 2ac" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/ncm:2" :> 
  $SpaceGroups["P42/ncm", "AlternativeSettings", "OriginChoice2"], 
 "P42/n21/c2/m:2" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "OriginChoice2"], "P42/ncm:2" :> $SpaceGroups["P42/ncm", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P4ac2ac" :> $SpaceGroups["P42/ncm", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/ncm:2" :> 
  $SpaceGroups["P42/ncm", "AlternativeSettings", "OriginChoice2"], 
 "C 42 m n" :> $SpaceGroups["P42nm", "AlternativeSettings", "CellCentringC"], 
 "C 4ac -2" :> $SpaceGroups["P42nm", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(2\)]\)mn" :> $SpaceGroups["P42nm", 
   "AlternativeSettings", "CellCentringC"], 
 "C42mn" :> $SpaceGroups["P42nm", "AlternativeSettings", "CellCentringC"], 
 "C4ac-2" :> $SpaceGroups["P42nm", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)mn" :> $SpaceGroups["P42nm", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42/a 2/c 21/m" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "CellCentringC"], "C 42/a c m" :> $SpaceGroups["P42/nmc", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4ac 2 -1ac" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/acm" :> 
  $SpaceGroups["P42/nmc", "AlternativeSettings", "CellCentringC"], 
 "C42/a2/c21/m" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "CellCentringC"], "C42/acm" :> $SpaceGroups["P42/nmc", 
   "AlternativeSettings", "CellCentringC"], 
 "C4ac2-1ac" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/acm" :> 
  $SpaceGroups["P42/nmc", "AlternativeSettings", "CellCentringC"], 
 "P 42/n 2/m 2/c:2" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "OriginChoice2"], "P 42/n m c:2" :> $SpaceGroups["P42/nmc", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P 4ac 2a" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nmc:2" :> 
  $SpaceGroups["P42/nmc", "AlternativeSettings", "OriginChoice2"], 
 "P42/n2/m2/c:2" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "OriginChoice2"], "P42/nmc:2" :> $SpaceGroups["P42/nmc", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P4ac2a" :> $SpaceGroups["P42/nmc", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nmc:2" :> 
  $SpaceGroups["P42/nmc", "AlternativeSettings", "OriginChoice2"], 
 "C 42/a 2/m 2/n" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "CellCentringC"], "C 42/a m n" :> $SpaceGroups["P42/nnm", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4ac 2ac -1ac" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(2\)]\)/amn" :> 
  $SpaceGroups["P42/nnm", "AlternativeSettings", "CellCentringC"], 
 "C42/a2/m2/n" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "CellCentringC"], "C42/amn" :> $SpaceGroups["P42/nnm", 
   "AlternativeSettings", "CellCentringC"], 
 "C4ac2ac-1ac" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\),\(2\)]\)/amn" :> 
  $SpaceGroups["P42/nnm", "AlternativeSettings", "CellCentringC"], 
 "P 42/n 2/n 2/m:2" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "OriginChoice2"], "P 42/n n m:2" :> $SpaceGroups["P42/nnm", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P 4ac 2bc" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\), \(2\)]\)/nnm:2" :> 
  $SpaceGroups["P42/nnm", "AlternativeSettings", "OriginChoice2"], 
 "P42/n2/n2/m:2" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "OriginChoice2"], "P42/nnm:2" :> $SpaceGroups["P42/nnm", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P4ac2bc" :> $SpaceGroups["P42/nnm", "AlternativeSettings", 
   "OriginChoice2"], "\!\(\*SubscriptBox[\(P4\),\(2\)]\)/nnm:2" :> 
  $SpaceGroups["P42/nnm", "AlternativeSettings", "OriginChoice2"], 
 "C 43" :> $SpaceGroups["P43", "AlternativeSettings", "CellCentringC"], 
 "C 4cw" :> $SpaceGroups["P43", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(3\)]\)" :> $SpaceGroups["P43", 
   "AlternativeSettings", "CellCentringC"], 
 "C43" :> $SpaceGroups["P43", "AlternativeSettings", "CellCentringC"], 
 "C4cw" :> $SpaceGroups["P43", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(3\)]\)" :> $SpaceGroups["P43", 
   "AlternativeSettings", "CellCentringC"], 
 "C 43 2 21" :> $SpaceGroups["P43212", "AlternativeSettings", 
   "CellCentringC"], "C 4acw 2c" :> $SpaceGroups["P43212", 
   "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(3\)]\)\!\(\*SubscriptBox[\(22\), \(1\)]\)" :> 
  $SpaceGroups["P43212", "AlternativeSettings", "CellCentringC"], 
 "C43221" :> $SpaceGroups["P43212", "AlternativeSettings", "CellCentringC"], 
 "C4acw2c" :> $SpaceGroups["P43212", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(3\)]\)\!\(\*SubscriptBox[\(22\),\(1\)]\)" :> 
  $SpaceGroups["P43212", "AlternativeSettings", "CellCentringC"], 
 "C 43 2 2" :> $SpaceGroups["P4322", "AlternativeSettings", "CellCentringC"], 
 "C 4cw 2cw" :> $SpaceGroups["P4322", "AlternativeSettings", 
   "CellCentringC"], "\!\(\*SubscriptBox[\(C4\), \(3\)]\)22" :> 
  $SpaceGroups["P4322", "AlternativeSettings", "CellCentringC"], 
 "C4322" :> $SpaceGroups["P4322", "AlternativeSettings", "CellCentringC"], 
 "C4cw2cw" :> $SpaceGroups["P4322", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(3\)]\)22" :> $SpaceGroups["P4322", 
   "AlternativeSettings", "CellCentringC"], 
 "C 42 c m" :> $SpaceGroups["P43mc", "AlternativeSettings", "CellCentringC"], 
 "C 4c -2c" :> $SpaceGroups["P43mc", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\), \(2\)]\)cm" :> $SpaceGroups["P43mc", 
   "AlternativeSettings", "CellCentringC"], 
 "C42cm" :> $SpaceGroups["P43mc", "AlternativeSettings", "CellCentringC"], 
 "C4c-2c" :> $SpaceGroups["P43mc", "AlternativeSettings", "CellCentringC"], 
 "\!\(\*SubscriptBox[\(C4\),\(2\)]\)cm" :> $SpaceGroups["P43mc", 
   "AlternativeSettings", "CellCentringC"], 
 "C -4 2a" :> $SpaceGroups["P-4b2", "AlternativeSettings", "CellCentringC"], 
 "C -4 2 b" :> $SpaceGroups["P-4b2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)2b" :> $SpaceGroups["P-4b2", 
   "AlternativeSettings", "CellCentringC"], 
 "C-42a" :> $SpaceGroups["P-4b2", "AlternativeSettings", "CellCentringC"], 
 "C-42b" :> $SpaceGroups["P-4b2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)2b" :> $SpaceGroups["P-4b2", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4 -2a" :> $SpaceGroups["P4bm", "AlternativeSettings", "CellCentringC"], 
 "C 4 m b" :> $SpaceGroups["P4bm", "AlternativeSettings", "CellCentringC"], 
 "C4-2a" :> $SpaceGroups["P4bm", "AlternativeSettings", "CellCentringC"], 
 "C4mb" :> $SpaceGroups["P4bm", "AlternativeSettings", "CellCentringC"], 
 "C -4 2 c" :> $SpaceGroups["P-4c2", "AlternativeSettings", "CellCentringC"], 
 "C -4 2c" :> $SpaceGroups["P-4c2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)2c" :> $SpaceGroups["P-4c2", 
   "AlternativeSettings", "CellCentringC"], 
 "C-42c" :> $SpaceGroups["P-4c2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)2c" :> $SpaceGroups["P-4c2", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4 -2c" :> $SpaceGroups["P4cc", "AlternativeSettings", "CellCentringC"], 
 "C 4 c c" :> $SpaceGroups["P4cc", "AlternativeSettings", "CellCentringC"], 
 "C4-2c" :> $SpaceGroups["P4cc", "AlternativeSettings", "CellCentringC"], 
 "C4cc" :> $SpaceGroups["P4cc", "AlternativeSettings", "CellCentringC"], 
 "-C 4" :> $SpaceGroups["P4/m", "AlternativeSettings", "CellCentringC"], 
 "C 4/m" :> $SpaceGroups["P4/m", "AlternativeSettings", "CellCentringC"], 
 "-C4" :> $SpaceGroups["P4/m", "AlternativeSettings", "CellCentringC"], 
 "C4/m" :> $SpaceGroups["P4/m", "AlternativeSettings", "CellCentringC"], 
 "C -4 2" :> $SpaceGroups["P-4m2", "AlternativeSettings", "CellCentringC"], 
 "C -4 2 m" :> $SpaceGroups["P-4m2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)2m" :> $SpaceGroups["P-4m2", 
   "AlternativeSettings", "CellCentringC"], 
 "C-42" :> $SpaceGroups["P-4m2", "AlternativeSettings", "CellCentringC"], 
 "C-42m" :> $SpaceGroups["P-4m2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)2m" :> $SpaceGroups["P-4m2", 
   "AlternativeSettings", "CellCentringC"], 
 "-C 4 2a" :> $SpaceGroups["P4/mbm", "AlternativeSettings", "CellCentringC"], 
 "C 4/m 2/m 21/b" :> $SpaceGroups["P4/mbm", "AlternativeSettings", 
   "CellCentringC"], "C4/mmb" :> $SpaceGroups["P4/mbm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C42a" :> $SpaceGroups["P4/mbm", "AlternativeSettings", "CellCentringC"], 
 "C4/m2/m21/b" :> $SpaceGroups["P4/mbm", "AlternativeSettings", 
   "CellCentringC"], "-C 4 2c" :> $SpaceGroups["P4/mcc", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4/m 2/c 2/c" :> $SpaceGroups["P4/mcc", "AlternativeSettings", 
   "CellCentringC"], "C 4/m c c" :> $SpaceGroups["P4/mcc", 
   "AlternativeSettings", "CellCentringC"], 
 "-C42c" :> $SpaceGroups["P4/mcc", "AlternativeSettings", "CellCentringC"], 
 "C4/m2/c2/c" :> $SpaceGroups["P4/mcc", "AlternativeSettings", 
   "CellCentringC"], "C4/mcc" :> $SpaceGroups["P4/mcc", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4 -2" :> $SpaceGroups["P4mm", "AlternativeSettings", "CellCentringC"], 
 "C 4 m m" :> $SpaceGroups["P4mm", "AlternativeSettings", "CellCentringC"], 
 "C4-2" :> $SpaceGroups["P4mm", "AlternativeSettings", "CellCentringC"], 
 "C4mm" :> $SpaceGroups["P4mm", "AlternativeSettings", "CellCentringC"], 
 "-C 4 2" :> $SpaceGroups["P4/mmm", "AlternativeSettings", "CellCentringC"], 
 "C 4/m 2/m 2/m" :> $SpaceGroups["P4/mmm", "AlternativeSettings", 
   "CellCentringC"], "C 4/m m m" :> $SpaceGroups["P4/mmm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C42" :> $SpaceGroups["P4/mmm", "AlternativeSettings", "CellCentringC"], 
 "C4/m2/m2/m" :> $SpaceGroups["P4/mmm", "AlternativeSettings", 
   "CellCentringC"], "C4/mmm" :> $SpaceGroups["P4/mmm", 
   "AlternativeSettings", "CellCentringC"], 
 "-C 4 2ac" :> $SpaceGroups["P4/mnc", "AlternativeSettings", 
   "CellCentringC"], "C 4/m 2/c 21/n" :> $SpaceGroups["P4/mnc", 
   "AlternativeSettings", "CellCentringC"], 
 "C4/mcn" :> $SpaceGroups["P4/mnc", "AlternativeSettings", "CellCentringC"], 
 "-C42ac" :> $SpaceGroups["P4/mnc", "AlternativeSettings", "CellCentringC"], 
 "C4/m2/c21/n" :> $SpaceGroups["P4/mnc", "AlternativeSettings", 
   "CellCentringC"], "C 4/a" :> $SpaceGroups["P4/n", "AlternativeSettings", 
   "CellCentringC"], "C 4a -1a" :> $SpaceGroups["P4/n", 
   "AlternativeSettings", "CellCentringC"], 
 "C4/a" :> $SpaceGroups["P4/n", "AlternativeSettings", "CellCentringC"], 
 "C4a-1a" :> $SpaceGroups["P4/n", "AlternativeSettings", "CellCentringC"], 
 "-P 4a" :> $SpaceGroups["P4/n", "AlternativeSettings", "OriginChoice2"], 
 "P 4/n:2" :> $SpaceGroups["P4/n", "AlternativeSettings", "OriginChoice2"], 
 "-P4a" :> $SpaceGroups["P4/n", "AlternativeSettings", "OriginChoice2"], 
 "P4/n:2" :> $SpaceGroups["P4/n", "AlternativeSettings", "OriginChoice2"], 
 "C -4 2ac" :> $SpaceGroups["P-4n2", "AlternativeSettings", "CellCentringC"], 
 "C -4 2 n" :> $SpaceGroups["P-4n2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\), \(_\)]\)2n" :> $SpaceGroups["P-4n2", 
   "AlternativeSettings", "CellCentringC"], 
 "C-42ac" :> $SpaceGroups["P-4n2", "AlternativeSettings", "CellCentringC"], 
 "C-42n" :> $SpaceGroups["P-4n2", "AlternativeSettings", "CellCentringC"], 
 "C\!\(\*OverscriptBox[\(4\),\(_\)]\)2n" :> $SpaceGroups["P-4n2", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4 2 -1a" :> $SpaceGroups["P4/nbm", "AlternativeSettings", 
   "CellCentringC"], "C 4/a 2/m 2/b" :> $SpaceGroups["P4/nbm", 
   "AlternativeSettings", "CellCentringC"], 
 "C4/amb" :> $SpaceGroups["P4/nbm", "AlternativeSettings", "CellCentringC"], 
 "C42-1a" :> $SpaceGroups["P4/nbm", "AlternativeSettings", "CellCentringC"], 
 "C4/a2/m2/b" :> $SpaceGroups["P4/nbm", "AlternativeSettings", 
   "CellCentringC"], "-P 4a 2b" :> $SpaceGroups["P4/nbm", 
   "AlternativeSettings", "OriginChoice2"], 
 "P 4/n 2/b 2/m:2" :> $SpaceGroups["P4/nbm", "AlternativeSettings", 
   "OriginChoice2"], "P 4/n b m:2" :> $SpaceGroups["P4/nbm", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P4a2b" :> $SpaceGroups["P4/nbm", "AlternativeSettings", "OriginChoice2"], 
 "P4/n2/b2/m:2" :> $SpaceGroups["P4/nbm", "AlternativeSettings", 
   "OriginChoice2"], "P4/nbm:2" :> $SpaceGroups["P4/nbm", 
   "AlternativeSettings", "OriginChoice2"], 
 "C 4 -2ac" :> $SpaceGroups["P4nc", "AlternativeSettings", "CellCentringC"], 
 "C 4 c n" :> $SpaceGroups["P4nc", "AlternativeSettings", "CellCentringC"], 
 "C4-2ac" :> $SpaceGroups["P4nc", "AlternativeSettings", "CellCentringC"], 
 "C4cn" :> $SpaceGroups["P4nc", "AlternativeSettings", "CellCentringC"], 
 "C 4a 2c -1a" :> $SpaceGroups["P4/ncc", "AlternativeSettings", 
   "CellCentringC"], "C 4/a 2/c 21/c" :> $SpaceGroups["P4/ncc", 
   "AlternativeSettings", "CellCentringC"], 
 "C 4/a c c" :> $SpaceGroups["P4/ncc", "AlternativeSettings", 
   "CellCentringC"], "C4a2c-1a" :> $SpaceGroups["P4/ncc", 
   "AlternativeSettings", "CellCentringC"], 
 "C4/a2/c21/c" :> $SpaceGroups["P4/ncc", "AlternativeSettings", 
   "CellCentringC"], "C4/acc" :> $SpaceGroups["P4/ncc", 
   "AlternativeSettings", "CellCentringC"], 
 "-P 4a 2ac" :> $SpaceGroups["P4/ncc", "AlternativeSettings", 
   "OriginChoice2"], "P 4/n 21/c 2/c:2" :> $SpaceGroups["P4/ncc", 
   "AlternativeSettings", "OriginChoice2"], 
 "P 4/n c c:2" :> $SpaceGroups["P4/ncc", "AlternativeSettings", 
   "OriginChoice2"], "-P4a2ac" :> $SpaceGroups["P4/ncc", 
   "AlternativeSettings", "OriginChoice2"], 
 "P4/n21/c2/c:2" :> $SpaceGroups["P4/ncc", "AlternativeSettings", 
   "OriginChoice2"], "P4/ncc:2" :> $SpaceGroups["P4/ncc", 
   "AlternativeSettings", "OriginChoice2"], 
 "-C 4a 2 -1a" :> $SpaceGroups["P4/nmm", "AlternativeSettings", 
   "CellCentringC"], "C 4/a 2/m 21/m" :> $SpaceGroups["P4/nmm", 
   "AlternativeSettings", "CellCentringC"], 
 "C4/amm" :> $SpaceGroups["P4/nmm", "AlternativeSettings", "CellCentringC"], 
 "-C4a2-1a" :> $SpaceGroups["P4/nmm", "AlternativeSettings", 
   "CellCentringC"], "C4/a2/m21/m" :> $SpaceGroups["P4/nmm", 
   "AlternativeSettings", "CellCentringC"], 
 "-P 4a 2a" :> $SpaceGroups["P4/nmm", "AlternativeSettings", 
   "OriginChoice2"], "P 4/n 21/m 2/m:2" :> $SpaceGroups["P4/nmm", 
   "AlternativeSettings", "OriginChoice2"], 
 "P 4/n m m:2" :> $SpaceGroups["P4/nmm", "AlternativeSettings", 
   "OriginChoice2"], "-P4a2a" :> $SpaceGroups["P4/nmm", 
   "AlternativeSettings", "OriginChoice2"], 
 "P4/n21/m2/m:2" :> $SpaceGroups["P4/nmm", "AlternativeSettings", 
   "OriginChoice2"], "P4/nmm:2" :> $SpaceGroups["P4/nmm", 
   "AlternativeSettings", "OriginChoice2"], 
 "C 4 2 -1ac" :> $SpaceGroups["P4/nnc", "AlternativeSettings", 
   "CellCentringC"], "C 4/a 2/c 2/n" :> $SpaceGroups["P4/nnc", 
   "AlternativeSettings", "CellCentringC"], 
 "C4/acn" :> $SpaceGroups["P4/nnc", "AlternativeSettings", "CellCentringC"], 
 "C42-1ac" :> $SpaceGroups["P4/nnc", "AlternativeSettings", "CellCentringC"], 
 "C4/a2/c2/n" :> $SpaceGroups["P4/nnc", "AlternativeSettings", 
   "CellCentringC"], "-P 4a 2bc" :> $SpaceGroups["P4/nnc", 
   "AlternativeSettings", "OriginChoice2"], 
 "P 4/n 2/n 2/c:2" :> $SpaceGroups["P4/nnc", "AlternativeSettings", 
   "OriginChoice2"], "P 4/n n c:2" :> $SpaceGroups["P4/nnc", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P4a2bc" :> $SpaceGroups["P4/nnc", "AlternativeSettings", "OriginChoice2"], 
 "P4/n2/n2/c:2" :> $SpaceGroups["P4/nnc", "AlternativeSettings", 
   "OriginChoice2"], "P4/nnc:2" :> $SpaceGroups["P4/nnc", 
   "AlternativeSettings", "OriginChoice2"], 
 "P -2ac -2ac" :> $SpaceGroups["Pba2", "AlternativeSettings", 
   "AxisPermutationBCA"], "P c 2 a" :> $SpaceGroups["Pba2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2ac-2ac" :> $SpaceGroups["Pba2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pc2a" :> $SpaceGroups["Pba2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P -2bc 2" :> $SpaceGroups["Pba2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2 c b" :> $SpaceGroups["Pba2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P-2bc2" :> $SpaceGroups["Pba2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2cb" :> $SpaceGroups["Pba2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/c 2/m 21/a" :> $SpaceGroups["Pbam", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P 2ac 2ac" :> $SpaceGroups["Pbam", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P c m a" :> $SpaceGroups["Pbam", "AlternativeSettings", 
   "AxisPermutationBCA"], "P21/c2/m21/a" :> $SpaceGroups["Pbam", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2ac2ac" :> $SpaceGroups["Pbam", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pcma" :> $SpaceGroups["Pbam", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P 2bc 2" :> $SpaceGroups["Pbam", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2/m 21/c 21/b" :> 
  $SpaceGroups["Pbam", "AlternativeSettings", "AxisPermutationCAB"], 
 "P m c b" :> $SpaceGroups["Pbam", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P2bc2" :> $SpaceGroups["Pbam", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P2/m21/c21/b" :> $SpaceGroups["Pbam", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pmcb" :> $SpaceGroups["Pbam", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 2 2 -1ac" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P 2/c 2/n 2/a" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P 2/c 2/n 2/a:1" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P c n a" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P c n a:1" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P22-1ac" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P2/c2/n2/a" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P2/c2/n2/a:1" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Pcna" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Pcna:1" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P 2 2 -1bc" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P 2/n 2/c 2/b" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P 2/n 2/c 2/b:1" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P n c b" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P n c b:1" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P22-1bc" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P2/n2/c2/b" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P2/n2/c2/b:1" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Pncb" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Pncb:1" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "-P 2ab 2b" :> $SpaceGroups["Pban", "AlternativeSettings", "OriginChoice2"], 
 "P 2/b 2/a 2/n:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2"], "P b a n:2" :> $SpaceGroups["Pban", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P2ab2b" :> $SpaceGroups["Pban", "AlternativeSettings", "OriginChoice2"], 
 "P2/b2/a2/n:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2"], "Pban:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2"], "-P 2a 2c" :> $SpaceGroups["Pban", 
   "AlternativeSettings", "OriginChoice2_AxisPermutationBCA"], 
 "P 2/c 2/n 2/a:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "P c n a:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-P2a2c" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], "P2/c2/n2/a:2" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "Pcna:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-P 2b 2bc" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "P 2/n 2/c 2/b:2" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "P n c b:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "-P2b2bc" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "P2/n2/c2/b:2" :> 
  $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "Pncb:2" :> $SpaceGroups["Pban", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "P 21/c 21/a 21/b" :> 
  $SpaceGroups["Pbca", "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P 2bc 2ac" :> $SpaceGroups["Pbca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P c a b" :> $SpaceGroups["Pbca", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P21/c21/a21/b" :> $SpaceGroups["Pbca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P2bc2ac" :> $SpaceGroups["Pbca", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Pcab" :> $SpaceGroups["Pbca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P 2bc 2c" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2/c 21/m 21/b" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P c m b" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P2bc2c" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P2/c21/m21/b" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Pcmb" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P 21/c 2/a 21/m" :> 
  $SpaceGroups["Pbcm", "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P 2c 2ac" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P c a m" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P21/c2/a21/m" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P2c2ac" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Pcam" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P 21/b 21/m 2/a" :> 
  $SpaceGroups["Pbcm", "AlternativeSettings", "AxisPermutationBCA"], 
 "-P 2a 2ab" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationBCA"], "P b m a" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P21/b21/m2/a" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P2a2ab" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Pbma" :> $SpaceGroups["Pbcm", "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21/m 2/c 21/a" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P 2ac 2a" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P m c a" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationCAB"], "P21/m2/c21/a" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2ac2a" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pmca" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/m 21/a 2/b" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P 2b 2a" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P m a b" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P21/m21/a2/b" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P2b2a" :> $SpaceGroups["Pbcm", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pmab" :> $SpaceGroups["Pbcm", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P 21/c 21/n 2/b" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-P 2b 2ac" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P c n b" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P21/c21/n2/b" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P2b2ac" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pcnb" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2/c 21/a 21/n" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P 2n 2c" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P c a n" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P2/c21/a21/n" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P2n2c" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pcan" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P 2ac 2b" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationBCA"], "P 2/b 21/n 21/a" :> 
  $SpaceGroups["Pbcn", "AlternativeSettings", "AxisPermutationBCA"], 
 "P b n a" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P2ac2b" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P2/b21/n21/a" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pbna" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21/n 21/c 2/a" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P 2a 2n" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P n c a" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationCAB"], "P21/n21/c2/a" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2a2n" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pnca" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/n 2/a 21/b" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P 2bc 2n" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P n a b" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P21/n2/a21/b" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P2bc2n" :> $SpaceGroups["Pbcn", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pnab" :> $SpaceGroups["Pbcn", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P -2xb" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "P b 1 1" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice1"], 
 "P-2xb" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], 
 "Pb11" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice1"], "P -2xbc" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "P n 1 1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], "P-2xbc" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice2"], 
 "Pn11" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2"], 
 "A d" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "A d 1 1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "Ad" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "Ad11" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice2_CellCentringA"], 
 "P -2xc" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], "P c 1 1" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisA_CellChoice3"], 
 "P-2xc" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "Pc11" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3"], 
 "Ab" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "A b 1 1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "Ab11" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisA_CellChoice3_CellCentringA"], 
 "P 1 n 1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "P -2yac" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "P n" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], 
 "P1n1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "P-2yac" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2"], 
 "Pn" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2"], "B 1 d 1" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B d" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "B1d1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "Bd" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice2_CellCentringB"], 
 "P 1 a 1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "P -2ya" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "P a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], 
 "P1a1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "P-2ya" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3"], 
 "Pa" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3"], "B 1 a 1" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "B1a1" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "Ba" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisB_CellChoice3_CellCentringB"], 
 "P 1 1 a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "P -2a" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisC_CellChoice1"], 
 "P11a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], 
 "P-2a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice1"], "P 1 1 n" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "P -2ab" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], 
 "P11n" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2"], "P-2ab" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisC_CellChoice2"], 
 "C 1 1 d" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C d" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "C11d" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "Cd" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice2_CellCentringC"], 
 "P 1 1 b" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "P -2b" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3"], 
 "P b" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "P11b" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "P-2b" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], 
 "Pb" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3"], "C 1 1 a" :> $SpaceGroups["Pc", 
   "AlternativeSettings", "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "C11a" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "Ca" :> $SpaceGroups["Pc", "AlternativeSettings", 
   "UniqueAxisC_CellChoice3_CellCentringC"], 
 "P -2a -2ab" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P b 21 a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "\!\(\*SubscriptBox[\(Pb2\), \(1\)]\)a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P-2a-2ab" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pb21a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "\!\(\*SubscriptBox[\(Pb2\),\(1\)]\)a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2c -2b" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P b c 21" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "\!\(\*SubscriptBox[\(Pbc2\), \(1\)]\)" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2c-2b" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pbc21" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "\!\(\*SubscriptBox[\(Pbc2\),\(1\)]\)" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P -2bc -2c" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationBCA"], "P c 21 b" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Pc2\), \(1\)]\)b" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2bc-2c" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pc21b" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Pc2\),\(1\)]\)b" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21 a b" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P -2b 2a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)ab" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P21ab" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P-2b2a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)ab" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21 c a" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P -2ac 2a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P21ca" :> $SpaceGroups["Pca21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P-2ac2a" :> $SpaceGroups["Pca21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P -2b -2b" :> $SpaceGroups["Pcc2", "AlternativeSettings", 
   "AxisPermutationBCA"], "P b 2 b" :> $SpaceGroups["Pcc2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2b-2b" :> $SpaceGroups["Pcc2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pb2b" :> $SpaceGroups["Pcc2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P -2a 2" :> $SpaceGroups["Pcc2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2 a a" :> $SpaceGroups["Pcc2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P-2a2" :> $SpaceGroups["Pcc2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2aa" :> $SpaceGroups["Pcc2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/b 2/a 2/b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-P 2b 2ab" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P b a b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P21/b2/a2/b" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P2b2ab" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pbab" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P 2b 2c" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P 2/c 21/c 2/b" :> 
  $SpaceGroups["Pcca", "AlternativeSettings", "AxisPermutationBA-C"], 
 "P c c b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P2b2c" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2/c21/c2/b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pccb" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P 2/b 2/c 21/b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P 2bc 2b" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P b c b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationBCA"], "P2/b2/c21/b" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2bc2b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pbcb" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P 2a 2b" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2/b 21/a 2/a" :> 
  $SpaceGroups["Pcca", "AlternativeSettings", "AxisPermutationCAB"], 
 "P b a a" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P2a2b" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P2/b21/a2/a" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pbaa" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P 2ac 2c" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P 2/c 2/a 21/a" :> 
  $SpaceGroups["Pcca", "AlternativeSettings", "AxisPermutation-CBA"], 
 "P c a a" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P2ac2c" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P2/c2/a21/a" :> $SpaceGroups["Pcca", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pcaa" :> $SpaceGroups["Pcca", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P 2b 2b" :> $SpaceGroups["Pccm", "AlternativeSettings", 
   "AxisPermutationBCA"], "P b m b" :> $SpaceGroups["Pccm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2b2b" :> $SpaceGroups["Pccm", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pbmb" :> $SpaceGroups["Pccm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P 2a 2" :> $SpaceGroups["Pccm", "AlternativeSettings", 
   "AxisPermutationCAB"], "P m a a" :> $SpaceGroups["Pccm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2a2" :> $SpaceGroups["Pccm", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pmaa" :> $SpaceGroups["Pccm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/b 2/n 21/b" :> $SpaceGroups["Pccn", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P 2bc 2ab" :> $SpaceGroups["Pccn", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P b n b" :> $SpaceGroups["Pccn", "AlternativeSettings", 
   "AxisPermutationBCA"], "P21/b2/n21/b" :> $SpaceGroups["Pccn", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2bc2ab" :> $SpaceGroups["Pccn", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pbnb" :> $SpaceGroups["Pccn", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P 2ac 2bc" :> $SpaceGroups["Pccn", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2/n 21/a 21/a" :> 
  $SpaceGroups["Pccn", "AlternativeSettings", "AxisPermutationCAB"], 
 "P n a a" :> $SpaceGroups["Pccn", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P2ac2bc" :> $SpaceGroups["Pccn", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P2/n21/a21/a" :> $SpaceGroups["Pccn", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pnaa" :> $SpaceGroups["Pccn", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "A m" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringA"], 
 "A m 1 1" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringA"], 
 "Am" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringA"], 
 "Am11" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringA"], 
 "B 1 m 1" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringB"], 
 "B m" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringB"], 
 "B1m1" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringB"], 
 "Bm" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringB"], 
 "C 1 1 m" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringC"], 
 "C m" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringC"], 
 "C11m" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringC"], 
 "Cm" :> $SpaceGroups["Pm", "AlternativeSettings", "CellCentringC"], 
 "P -2x" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisA"], 
 "P m 1 1" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisA"], 
 "P-2x" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisA"], 
 "Pm11" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisA"], 
 "P 1 1 m" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisC"], 
 "P -2" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisC"], 
 "P11m" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisC"], 
 "P-2" :> $SpaceGroups["Pm", "AlternativeSettings", "UniqueAxisC"], 
 "P -2a -2a" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P m 2 a" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P-2a-2a" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pm2a" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2 -2b" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P b m 2" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2-2b" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pbm2" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P -2c -2c" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationBCA"], "P c 2 m" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2c-2c" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pc2m" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P -2b 2" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2 m b" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P-2b2" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2mb" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P -2c 2" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P 2 c m" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P-2c2" :> $SpaceGroups["Pma2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P2cm" :> $SpaceGroups["Pma2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P -2b -2" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P m 21 b" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "\!\(\*SubscriptBox[\(Pm2\), \(1\)]\)b" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P-2b-2" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pm21b" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "\!\(\*SubscriptBox[\(Pm2\),\(1\)]\)b" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2c -2c" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P c m 21" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "\!\(\*SubscriptBox[\(Pcm2\), \(1\)]\)" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2c-2c" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pcm21" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "\!\(\*SubscriptBox[\(Pcm2\),\(1\)]\)" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P -2 -2b" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationBCA"], "P b 21 m" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Pb2\), \(1\)]\)m" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2-2b" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pb21m" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Pb2\),\(1\)]\)m" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21 m a" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P -2a 2a" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)ma" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P21ma" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P-2a2a" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)ma" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21 a m" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P -2 2a" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)am" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P21am" :> $SpaceGroups["Pmc21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P-22a" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)am" :> $SpaceGroups["Pmc21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P -2 -2" :> $SpaceGroups["Pmm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "P m 2 m" :> $SpaceGroups["Pmm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2-2" :> $SpaceGroups["Pmm2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pm2m" :> $SpaceGroups["Pmm2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P -2 2" :> $SpaceGroups["Pmm2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2 m m" :> $SpaceGroups["Pmm2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P-22" :> $SpaceGroups["Pmm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "P2mm" :> $SpaceGroups["Pmm2", "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/m 2/a 2/m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-P 2 2a" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P m a m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P21/m2/a2/m" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P22a" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pmam" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P 2b 2" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P 2/m 21/m 2/b" :> 
  $SpaceGroups["Pmma", "AlternativeSettings", "AxisPermutationBA-C"], 
 "P m m b" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P2b2" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2/m21/m2/b" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pmmb" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P 2c 2" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationBCA"], "P 2/m 2/c 21/m" :> 
  $SpaceGroups["Pmma", "AlternativeSettings", "AxisPermutationBCA"], 
 "P m c m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P2c2" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P2/m2/c21/m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pmcm" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P 2 2b" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2/b 21/m 2/m" :> 
  $SpaceGroups["Pmma", "AlternativeSettings", "AxisPermutationCAB"], 
 "P b m m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P22b" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P2/b21/m2/m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pbmm" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P 2c 2c" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P 2/c 2/m 21/m" :> 
  $SpaceGroups["Pmma", "AlternativeSettings", "AxisPermutation-CBA"], 
 "P c m m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P2c2c" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P2/c2/m21/m" :> $SpaceGroups["Pmma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pcmm" :> $SpaceGroups["Pmma", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P 21/m 2/n 21/m" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P 21/m 2/n 21/m:1" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P 2ac 2ac -1ac" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P m n m" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P m n m:1" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P21/m2/n21/m" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P21/m2/n21/m:1" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "P2ac2ac-1ac" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Pmnm" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], 
 "Pmnm:1" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationBCA"], "P 2bc 2 -1bc" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P 2/n 21/m 21/m" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P 2/n 21/m 21/m:1" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P n m m" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P n m m:1" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "P2bc2-1bc" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P2/n21/m21/m" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P2/n21/m21/m:1" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Pnmm" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], 
 "Pnmm:1" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice1_AxisPermutationCAB"], "P 21/m 21/m 2/n:2" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", "OriginChoice2"], 
 "-P 2ab 2a" :> $SpaceGroups["Pmmn", "AlternativeSettings", "OriginChoice2"], 
 "P m m n:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", "OriginChoice2"], 
 "P21/m21/m2/n:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2"], "-P2ab2a" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2"], "Pmmn:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2"], "P 21/m 2/n 21/m:2" :> $SpaceGroups["Pmmn", 
   "AlternativeSettings", "OriginChoice2_AxisPermutationBCA"], 
 "-P 2c 2a" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "P m n m:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], "P21/m2/n21/m:2" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-P2c2a" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "Pmnm:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationBCA"], 
 "-P 2c 2bc" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "P 2/n 21/m 21/m:2" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "P n m m:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "-P2c2bc" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], "P2/n21/m21/m:2" :> 
  $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "Pnmm:2" :> $SpaceGroups["Pmmn", "AlternativeSettings", 
   "OriginChoice2_AxisPermutationCAB"], 
 "P -2ab -2" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P m 21 n" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Pm\!\(\*SubscriptBox[\(2\), \(1\)]\)n" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P-2ab-2" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pm21n" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Pm\!\(\*SubscriptBox[\(2\),\(1\)]\)n" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2bc -2bc" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P n m 21" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Pnm\!\(\*SubscriptBox[\(2\), \(1\)]\)" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2bc-2bc" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pnm21" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Pnm\!\(\*SubscriptBox[\(2\),\(1\)]\)" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P -2 -2bc" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationBCA"], "P n 21 m" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Pn\!\(\*SubscriptBox[\(2\), \(1\)]\)m" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2-2bc" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pn21m" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "Pn\!\(\*SubscriptBox[\(2\),\(1\)]\)m" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21 m n" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P -2ab 2ab" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)mn" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P21mn" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P-2ab2ab" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)mn" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21 n m" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P -2 2ac" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)nm" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P21nm" :> $SpaceGroups["Pmn21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P-22ac" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)nm" :> $SpaceGroups["Pmn21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P 2ab 2" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P 2/m 21/a 2/n" :> 
  $SpaceGroups["Pmna", "AlternativeSettings", "AxisPermutationA-CB"], 
 "P m a n" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-P2ab2" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P2/m21/a2/n" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pman" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P 2bc 2bc" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P 2/n 2/m 21/b" :> 
  $SpaceGroups["Pmna", "AlternativeSettings", "AxisPermutationBA-C"], 
 "P n m b" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P2bc2bc" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2/n2/m21/b" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pnmb" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P 2 2bc" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationBCA"], "P 2/n 21/c 2/m" :> 
  $SpaceGroups["Pmna", "AlternativeSettings", "AxisPermutationBCA"], 
 "P n c m" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P22bc" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P2/n21/c2/m" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pncm" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21/b 2/m 2/n" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P 2ab 2ab" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P b m n" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationCAB"], "P21/b2/m2/n" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2ab2ab" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pbmn" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/c 2/n 2/m" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P 2 2ac" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P c n m" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P21/c2/n2/m" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P22ac" :> $SpaceGroups["Pmna", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pcnm" :> $SpaceGroups["Pmna", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P 2ab 2bc 3" :> $SpaceGroups["Pn-3", "AlternativeSettings", 
   "OriginChoice2"], "P 2/n -3:2" :> $SpaceGroups["Pn-3", 
   "AlternativeSettings", "OriginChoice2"], 
 "P n -3:2" :> $SpaceGroups["Pn-3", "AlternativeSettings", "OriginChoice2"], 
 "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\):2" :> 
  $SpaceGroups["Pn-3", "AlternativeSettings", "OriginChoice2"], 
 "-P2ab2bc3" :> $SpaceGroups["Pn-3", "AlternativeSettings", "OriginChoice2"], 
 "P2/n-3:2" :> $SpaceGroups["Pn-3", "AlternativeSettings", "OriginChoice2"], 
 "Pn-3:2" :> $SpaceGroups["Pn-3", "AlternativeSettings", "OriginChoice2"], 
 "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\):2" :> $SpaceGroups["Pn-3", 
   "AlternativeSettings", "OriginChoice2"], 
 "P 42/n -3 2/m:2" :> $SpaceGroups["Pn-3m", "AlternativeSettings", 
   "OriginChoice2"], "-P 4bc 2bc 3" :> $SpaceGroups["Pn-3m", 
   "AlternativeSettings", "OriginChoice2"], 
 "P n -3 m:2" :> $SpaceGroups["Pn-3m", "AlternativeSettings", 
   "OriginChoice2"], "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)m:2" :> 
  $SpaceGroups["Pn-3m", "AlternativeSettings", "OriginChoice2"], 
 "P42/n-32/m:2" :> $SpaceGroups["Pn-3m", "AlternativeSettings", 
   "OriginChoice2"], "-P4bc2bc3" :> $SpaceGroups["Pn-3m", 
   "AlternativeSettings", "OriginChoice2"], 
 "Pn-3m:2" :> $SpaceGroups["Pn-3m", "AlternativeSettings", "OriginChoice2"], 
 "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)m:2" :> $SpaceGroups["Pn-3m", 
   "AlternativeSettings", "OriginChoice2"], 
 "-P 4a 2bc 3" :> $SpaceGroups["Pn-3n", "AlternativeSettings", 
   "OriginChoice2"], "P 4/n -3 2/n:2" :> $SpaceGroups["Pn-3n", 
   "AlternativeSettings", "OriginChoice2"], 
 "P n -3 n:2" :> $SpaceGroups["Pn-3n", "AlternativeSettings", 
   "OriginChoice2"], "Pn\!\(\*OverscriptBox[\(3\), \(_\)]\)n:2" :> 
  $SpaceGroups["Pn-3n", "AlternativeSettings", "OriginChoice2"], 
 "-P4a2bc3" :> $SpaceGroups["Pn-3n", "AlternativeSettings", "OriginChoice2"], 
 "P4/n-32/n:2" :> $SpaceGroups["Pn-3n", "AlternativeSettings", 
   "OriginChoice2"], "Pn-3n:2" :> $SpaceGroups["Pn-3n", 
   "AlternativeSettings", "OriginChoice2"], 
 "Pn\!\(\*OverscriptBox[\(3\),\(_\)]\)n:2" :> $SpaceGroups["Pn-3n", 
   "AlternativeSettings", "OriginChoice2"], 
 "P -2ac -2n" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P n 21 a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Pn\!\(\*SubscriptBox[\(2\), \(1\)]\)a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P-2ac-2n" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pn21a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "Pn\!\(\*SubscriptBox[\(2\),\(1\)]\)a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2c -2ab" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P b n 21" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Pbn\!\(\*SubscriptBox[\(2\), \(1\)]\)" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2c-2ab" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pbn21" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "Pbn\!\(\*SubscriptBox[\(2\),\(1\)]\)" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P -2n -2ac" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationBCA"], "P c 21 n" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Pc2\), \(1\)]\)n" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2n-2ac" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pc21n" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "\!\(\*SubscriptBox[\(Pc2\),\(1\)]\)n" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21 n b" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P -2bc 2a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)nb" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P21nb" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutationCAB"], "P-2bc2a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)nb" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21 c n" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P -2n 2a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(P2\), \(1\)]\)cn" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P21cn" :> $SpaceGroups["Pna21", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P-2n2a" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "\!\(\*SubscriptBox[\(P2\),\(1\)]\)cn" :> $SpaceGroups["Pna21", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P -2bc -2bc" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P n 2 b" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P-2bc-2bc" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pn2b" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 2 -2ac" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P c n 2" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P2-2ac" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pcn2" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P -2ab -2ab" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationBCA"], "P b 2 n" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2ab-2ab" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pb2n" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P -2ac 2" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2 n a" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P-2ac2" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2na" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P -2ab 2" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P 2 a n" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P-2ab2" :> $SpaceGroups["Pnc2", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P2an" :> $SpaceGroups["Pnc2", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P 21/n 21/a 21/m" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-P 2c 2n" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P n a m" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P21/n21/a21/m" :> 
  $SpaceGroups["Pnma", "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P2c2n" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pnam" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 21/m 21/n 21/b" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P 2bc 2a" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P m n b" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P21/m21/n21/b" :> 
  $SpaceGroups["Pnma", "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P2bc2a" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pmnb" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P 21/m 21/c 21/n" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P 2n 2a" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P m c n" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationBCA"], "P21/m21/c21/n" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2n2a" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pmcn" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 21/b 21/n 21/m" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P 2c 2ab" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P b n m" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationCAB"], "P21/b21/n21/m" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2c2ab" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pbnm" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 21/c 21/m 21/n" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P 2n 2ac" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P c m n" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P21/c21/m21/n" :> 
  $SpaceGroups["Pnma", "AlternativeSettings", "AxisPermutation-CBA"], 
 "-P2n2ac" :> $SpaceGroups["Pnma", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pcmn" :> $SpaceGroups["Pnma", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P -2n -2n" :> $SpaceGroups["Pnn2", "AlternativeSettings", 
   "AxisPermutationBCA"], "P n 2 n" :> $SpaceGroups["Pnn2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P-2n-2n" :> $SpaceGroups["Pnn2", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pn2n" :> $SpaceGroups["Pnn2", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P -2n 2" :> $SpaceGroups["Pnn2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P 2 n n" :> $SpaceGroups["Pnn2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P-2n2" :> $SpaceGroups["Pnn2", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2nn" :> $SpaceGroups["Pnn2", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P 2/n 2/a 21/n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationA-CB"], "-P 2n 2bc" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P n a n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationA-CB"], "P2/n2/a21/n" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "-P2n2bc" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationA-CB"], "Pnan" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationA-CB"], 
 "P 21/n 2/n 2/b" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationBA-C"], "-P 2b 2n" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P n n b" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationBA-C"], "P21/n2/n2/b" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "-P2b2n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationBA-C"], "Pnnb" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationBA-C"], 
 "P 21/n 2/c 2/n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P 2ab 2n" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P n c n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationBCA"], "P21/n2/c2/n" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2ab2n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pncn" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 2/b 2/n 21/n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P 2n 2b" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P b n n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2/b2/n21/n" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2n2b" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pbnn" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P 2ab 2c" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutation-CBA"], "P 2/c 21/n 2/n" :> 
  $SpaceGroups["Pnna", "AlternativeSettings", "AxisPermutation-CBA"], 
 "P c n n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutation-CBA"], "-P2ab2c" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P2/c21/n2/n" :> $SpaceGroups["Pnna", "AlternativeSettings", 
   "AxisPermutation-CBA"], "Pcnn" :> $SpaceGroups["Pnna", 
   "AlternativeSettings", "AxisPermutation-CBA"], 
 "P 21/n 2/m 21/n" :> $SpaceGroups["Pnnm", "AlternativeSettings", 
   "AxisPermutationBCA"], "-P 2n 2n" :> $SpaceGroups["Pnnm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P n m n" :> $SpaceGroups["Pnnm", "AlternativeSettings", 
   "AxisPermutationBCA"], "P21/n2/m21/n" :> $SpaceGroups["Pnnm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "-P2n2n" :> $SpaceGroups["Pnnm", "AlternativeSettings", 
   "AxisPermutationBCA"], "Pnmn" :> $SpaceGroups["Pnnm", 
   "AlternativeSettings", "AxisPermutationBCA"], 
 "P 2/m 21/n 21/n" :> $SpaceGroups["Pnnm", "AlternativeSettings", 
   "AxisPermutationCAB"], "-P 2n 2" :> $SpaceGroups["Pnnm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "P m n n" :> $SpaceGroups["Pnnm", "AlternativeSettings", 
   "AxisPermutationCAB"], "P2/m21/n21/n" :> $SpaceGroups["Pnnm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P2n2" :> $SpaceGroups["Pnnm", "AlternativeSettings", 
   "AxisPermutationCAB"], "Pmnn" :> $SpaceGroups["Pnnm", 
   "AlternativeSettings", "AxisPermutationCAB"], 
 "-P 2ab 2bc" :> $SpaceGroups["Pnnn", "AlternativeSettings", 
   "OriginChoice2"], "P 2/n 2/n 2/n:2" :> $SpaceGroups["Pnnn", 
   "AlternativeSettings", "OriginChoice2"], 
 "P n n n:2" :> $SpaceGroups["Pnnn", "AlternativeSettings", "OriginChoice2"], 
 "-P2ab2bc" :> $SpaceGroups["Pnnn", "AlternativeSettings", "OriginChoice2"], 
 "P2/n2/n2/n:2" :> $SpaceGroups["Pnnn", "AlternativeSettings", 
   "OriginChoice2"], "Pnnn:2" :> $SpaceGroups["Pnnn", "AlternativeSettings", 
   "OriginChoice2"], "-P 3*" :> $SpaceGroups["R-3", "AlternativeSettings", 
   "RhombohedralAxes"], "R -3:r" :> $SpaceGroups["R-3", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "R\!\(\*OverscriptBox[\(3\), \(_\)]\):r" :> $SpaceGroups["R-3", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "-P3*" :> $SpaceGroups["R-3", "AlternativeSettings", "RhombohedralAxes"], 
 "R-3:r" :> $SpaceGroups["R-3", "AlternativeSettings", "RhombohedralAxes"], 
 "R\!\(\*OverscriptBox[\(3\),\(_\)]\):r" :> $SpaceGroups["R-3", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "P 3*" :> $SpaceGroups["R3", "AlternativeSettings", "RhombohedralAxes"], 
 "R 3:r" :> $SpaceGroups["R3", "AlternativeSettings", "RhombohedralAxes"], 
 "P3*" :> $SpaceGroups["R3", "AlternativeSettings", "RhombohedralAxes"], 
 "R3:r" :> $SpaceGroups["R3", "AlternativeSettings", "RhombohedralAxes"], 
 "P 3* 2" :> $SpaceGroups["R32", "AlternativeSettings", "RhombohedralAxes"], 
 "R 3 2:r" :> $SpaceGroups["R32", "AlternativeSettings", "RhombohedralAxes"], 
 "P3*2" :> $SpaceGroups["R32", "AlternativeSettings", "RhombohedralAxes"], 
 "R32:r" :> $SpaceGroups["R32", "AlternativeSettings", "RhombohedralAxes"], 
 "-P 3* 2n" :> $SpaceGroups["R-3c", "AlternativeSettings", 
   "RhombohedralAxes"], "R -3 2/c:r" :> $SpaceGroups["R-3c", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "R -3 c:r" :> $SpaceGroups["R-3c", "AlternativeSettings", 
   "RhombohedralAxes"], "R\!\(\*OverscriptBox[\(3\), \(_\)]\)c:r" :> 
  $SpaceGroups["R-3c", "AlternativeSettings", "RhombohedralAxes"], 
 "-P3*2n" :> $SpaceGroups["R-3c", "AlternativeSettings", "RhombohedralAxes"], 
 "R-32/c:r" :> $SpaceGroups["R-3c", "AlternativeSettings", 
   "RhombohedralAxes"], "R-3c:r" :> $SpaceGroups["R-3c", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "R\!\(\*OverscriptBox[\(3\),\(_\)]\)c:r" :> $SpaceGroups["R-3c", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "P 3* -2n" :> $SpaceGroups["R3c", "AlternativeSettings", 
   "RhombohedralAxes"], "R 3 c:r" :> $SpaceGroups["R3c", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "P3*-2n" :> $SpaceGroups["R3c", "AlternativeSettings", "RhombohedralAxes"], 
 "R3c:r" :> $SpaceGroups["R3c", "AlternativeSettings", "RhombohedralAxes"], 
 "-P 3* 2" :> $SpaceGroups["R-3m", "AlternativeSettings", 
   "RhombohedralAxes"], "R -3 2/m:r" :> $SpaceGroups["R-3m", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "R -3 m:r" :> $SpaceGroups["R-3m", "AlternativeSettings", 
   "RhombohedralAxes"], "R\!\(\*OverscriptBox[\(3\), \(_\)]\)m:r" :> 
  $SpaceGroups["R-3m", "AlternativeSettings", "RhombohedralAxes"], 
 "-P3*2" :> $SpaceGroups["R-3m", "AlternativeSettings", "RhombohedralAxes"], 
 "R-32/m:r" :> $SpaceGroups["R-3m", "AlternativeSettings", 
   "RhombohedralAxes"], "R-3m:r" :> $SpaceGroups["R-3m", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "R\!\(\*OverscriptBox[\(3\),\(_\)]\)m:r" :> $SpaceGroups["R-3m", 
   "AlternativeSettings", "RhombohedralAxes"], 
 "P 3* -2" :> $SpaceGroups["R3m", "AlternativeSettings", "RhombohedralAxes"], 
 "R 3 m:r" :> $SpaceGroups["R3m", "AlternativeSettings", "RhombohedralAxes"], 
 "P3*-2" :> $SpaceGroups["R3m", "AlternativeSettings", "RhombohedralAxes"], 
 "R3m:r" :> $SpaceGroups["R3m", "AlternativeSettings", "RhombohedralAxes"]|>
